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Finding the Fourth Proportional to 83,492.80, 125,280.36 and 39,111.88

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Solution

The fourth proportional to 83,492.80, 125,280.36 and 39,111.88 is: 58,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,492.80 : 125,280.36 = 39,111.88 : x
  2. Step 2: Convert to fraction form
    83,492.80/125,280.36 = 39,111.88/x
  3. Step 3: Cross multiply
    83,492.80x = 125,280.36 × 39,111.88
  4. Step 4: Simplify right side
    83,492.80x = 4,899,950,406.68
  5. Step 5: Solve for x
    x = 4,899,950,406.68/83,492.80
  6. Step 6: Final answer
    x = 58,687.10

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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.