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Finding the Fourth Proportional to 72,862.65, 109,256.90 and 33,385.77

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Solution

The fourth proportional to 72,862.65, 109,256.90 and 33,385.77 is: 50,061.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,862.65 : 109,256.90 = 33,385.77 : x
  2. Step 2: Convert to fraction form
    72,862.65/109,256.90 = 33,385.77/x
  3. Step 3: Cross multiply
    72,862.65x = 109,256.90 × 33,385.77
  4. Step 4: Simplify right side
    72,862.65x = 3,647,625,567.38
  5. Step 5: Solve for x
    x = 3,647,625,567.38/72,862.65
  6. Step 6: Final answer
    x = 50,061.66

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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.