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Finding the Fourth Proportional to 109,287.20, 163,930.80 and 77,794.40

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Solution

The fourth proportional to 109,287.20, 163,930.80 and 77,794.40 is: 116,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,287.20 : 163,930.80 = 77,794.40 : x
  2. Step 2: Convert to fraction form
    109,287.20/163,930.80 = 77,794.40/x
  3. Step 3: Cross multiply
    109,287.20x = 163,930.80 × 77,794.40
  4. Step 4: Simplify right side
    109,287.20x = 12,752,898,227.52
  5. Step 5: Solve for x
    x = 12,752,898,227.52/109,287.20
  6. Step 6: Final answer
    x = 116,691.60

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1.5x scale

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.