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Finding the Fourth Proportional to 119,663.30, 165,130.98 and 71,921.10

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Solution

The fourth proportional to 119,663.30, 165,130.98 and 71,921.10 is: 99,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,663.30 : 165,130.98 = 71,921.10 : x
  2. Step 2: Convert to fraction form
    119,663.30/165,130.98 = 71,921.10/x
  3. Step 3: Cross multiply
    119,663.30x = 165,130.98 × 71,921.10
  4. Step 4: Simplify right side
    119,663.30x = 11,876,401,725.68
  5. Step 5: Solve for x
    x = 11,876,401,725.68/119,663.30
  6. Step 6: Final answer
    x = 99,248.49

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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.