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Finding the Fourth Proportional to 83,985.56, 115,862.64 and 56,752.92

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Solution

The fourth proportional to 83,985.56, 115,862.64 and 56,752.92 is: 78,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,985.56 : 115,862.64 = 56,752.92 : x
  2. Step 2: Convert to fraction form
    83,985.56/115,862.64 = 56,752.92/x
  3. Step 3: Cross multiply
    83,985.56x = 115,862.64 × 56,752.92
  4. Step 4: Simplify right side
    83,985.56x = 6,575,543,138.91
  5. Step 5: Solve for x
    x = 6,575,543,138.91/83,985.56
  6. Step 6: Final answer
    x = 78,293.73

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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.