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Finding the Fourth Proportional to 211,597,509.09, 291,978,120.65 and 117,498,862.29

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Solution

The fourth proportional to 211,597,509.09, 291,978,120.65 and 117,498,862.29 is: 162,133,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,597,509.09 : 291,978,120.65 = 117,498,862.29 : x
  2. Step 2: Convert to fraction form
    211,597,509.09/291,978,120.65 = 117,498,862.29/x
  3. Step 3: Cross multiply
    211,597,509.09x = 291,978,120.65 × 117,498,862.29
  4. Step 4: Simplify right side
    211,597,509.09x = 34,307,096,989,359,860
  5. Step 5: Solve for x
    x = 34,307,096,989,359,860/211,597,509.09
  6. Step 6: Final answer
    x = 162,133,746.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.