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Finding the Fourth Proportional to 136,691.40, 205,037.10 and 83,929.80

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Solution

The fourth proportional to 136,691.40, 205,037.10 and 83,929.80 is: 125,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,691.40 : 205,037.10 = 83,929.80 : x
  2. Step 2: Convert to fraction form
    136,691.40/205,037.10 = 83,929.80/x
  3. Step 3: Cross multiply
    136,691.40x = 205,037.10 × 83,929.80
  4. Step 4: Simplify right side
    136,691.40x = 17,208,722,795.58
  5. Step 5: Solve for x
    x = 17,208,722,795.58/136,691.40
  6. Step 6: Final answer
    x = 125,894.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.