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Finding the Fourth Proportional to 81,711.20, 122,566.80 and 46,654.40

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Solution

The fourth proportional to 81,711.20, 122,566.80 and 46,654.40 is: 69,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711.20 : 122,566.80 = 46,654.40 : x
  2. Step 2: Convert to fraction form
    81,711.20/122,566.80 = 46,654.40/x
  3. Step 3: Cross multiply
    81,711.20x = 122,566.80 × 46,654.40
  4. Step 4: Simplify right side
    81,711.20x = 5,718,280,513.92
  5. Step 5: Solve for x
    x = 5,718,280,513.92/81,711.20
  6. Step 6: Final answer
    x = 69,981.60

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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.