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Finding the Fourth Proportional to 136,906.60, 205,139.10 and 77,565.80

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Solution

The fourth proportional to 136,906.60, 205,139.10 and 77,565.80 is: 116,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,906.60 : 205,139.10 = 77,565.80 : x
  2. Step 2: Convert to fraction form
    136,906.60/205,139.10 = 77,565.80/x
  3. Step 3: Cross multiply
    136,906.60x = 205,139.10 × 77,565.80
  4. Step 4: Simplify right side
    136,906.60x = 15,911,778,402.78
  5. Step 5: Solve for x
    x = 15,911,778,402.78/136,906.60
  6. Step 6: Final answer
    x = 116,223.60

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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.