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Finding the Fourth Proportional to 83,957.50, 115,823.87 and 56,724.80

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Solution

The fourth proportional to 83,957.50, 115,823.87 and 56,724.80 is: 78,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.50 : 115,823.87 = 56,724.80 : x
  2. Step 2: Convert to fraction form
    83,957.50/115,823.87 = 56,724.80/x
  3. Step 3: Cross multiply
    83,957.50x = 115,823.87 × 56,724.80
  4. Step 4: Simplify right side
    83,957.50x = 6,570,085,855.78
  5. Step 5: Solve for x
    x = 6,570,085,855.78/83,957.50
  6. Step 6: Final answer
    x = 78,254.90

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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.