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Finding the Fourth Proportional to 72,871.93, 109,307.90 and 20,285.52

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Solution

The fourth proportional to 72,871.93, 109,307.90 and 20,285.52 is: 30,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,871.93 : 109,307.90 = 20,285.52 : x
  2. Step 2: Convert to fraction form
    72,871.93/109,307.90 = 20,285.52/x
  3. Step 3: Cross multiply
    72,871.93x = 109,307.90 × 20,285.52
  4. Step 4: Simplify right side
    72,871.93x = 2,217,367,591.61
  5. Step 5: Solve for x
    x = 2,217,367,591.61/72,871.93
  6. Step 6: Final answer
    x = 30,428.28

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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.