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Finding the Fourth Proportional to 211,597,509.47, 291,978,121.16 and 117,498,862.67

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Solution

The fourth proportional to 211,597,509.47, 291,978,121.16 and 117,498,862.67 is: 162,133,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,597,509.47 : 291,978,121.16 = 117,498,862.67 : x
  2. Step 2: Convert to fraction form
    211,597,509.47/291,978,121.16 = 117,498,862.67/x
  3. Step 3: Cross multiply
    211,597,509.47x = 291,978,121.16 × 117,498,862.67
  4. Step 4: Simplify right side
    211,597,509.47x = 34,307,097,159,657,324
  5. Step 5: Solve for x
    x = 34,307,097,159,657,324/211,597,509.47
  6. Step 6: Final answer
    x = 162,133,747.45

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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.