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Finding the Fourth Proportional to 83,385.30, 125,124.12 and 30,829.26

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Solution

The fourth proportional to 83,385.30, 125,124.12 and 30,829.26 is: 46,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,385.30 : 125,124.12 = 30,829.26 : x
  2. Step 2: Convert to fraction form
    83,385.30/125,124.12 = 30,829.26/x
  3. Step 3: Cross multiply
    83,385.30x = 125,124.12 × 30,829.26
  4. Step 4: Simplify right side
    83,385.30x = 3,857,484,027.75
  5. Step 5: Solve for x
    x = 3,857,484,027.75/83,385.30
  6. Step 6: Final answer
    x = 46,260.96

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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.