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Finding the Fourth Proportional to 119,407.39, 164,780.39 and 65,689.20

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Solution

The fourth proportional to 119,407.39, 164,780.39 and 65,689.20 is: 90,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,407.39 : 164,780.39 = 65,689.20 : x
  2. Step 2: Convert to fraction form
    119,407.39/164,780.39 = 65,689.20/x
  3. Step 3: Cross multiply
    119,407.39x = 164,780.39 × 65,689.20
  4. Step 4: Simplify right side
    119,407.39x = 10,824,292,159.01
  5. Step 5: Solve for x
    x = 10,824,292,159.01/119,407.39
  6. Step 6: Final answer
    x = 90,650.10

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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.