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Finding the Fourth Proportional to 119,139.60, 164,402.40 and 65,424

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Solution

The fourth proportional to 119,139.60, 164,402.40 and 65,424 is: 90,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,139.60 : 164,402.40 = 65,424 : x
  2. Step 2: Convert to fraction form
    119,139.60/164,402.40 = 65,424/x
  3. Step 3: Cross multiply
    119,139.60x = 164,402.40 × 65,424
  4. Step 4: Simplify right side
    119,139.60x = 10,755,862,617.60
  5. Step 5: Solve for x
    x = 10,755,862,617.60/119,139.60
  6. Step 6: Final answer
    x = 90,279.49

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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.