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Finding the Fourth Proportional to 215,931.36, 297,978.24 and 117,810.96

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Solution

The fourth proportional to 215,931.36, 297,978.24 and 117,810.96 is: 162,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,931.36 : 297,978.24 = 117,810.96 : x
  2. Step 2: Convert to fraction form
    215,931.36/297,978.24 = 117,810.96/x
  3. Step 3: Cross multiply
    215,931.36x = 297,978.24 × 117,810.96
  4. Step 4: Simplify right side
    215,931.36x = 35,105,102,513.51
  5. Step 5: Solve for x
    x = 35,105,102,513.51/215,931.36
  6. Step 6: Final answer
    x = 162,575.29

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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.