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Finding the Fourth Proportional to 72,658.84, 108,985.24 and 25,284.78

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Solution

The fourth proportional to 72,658.84, 108,985.24 and 25,284.78 is: 37,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,658.84 : 108,985.24 = 25,284.78 : x
  2. Step 2: Convert to fraction form
    72,658.84/108,985.24 = 25,284.78/x
  3. Step 3: Cross multiply
    72,658.84x = 108,985.24 × 25,284.78
  4. Step 4: Simplify right side
    72,658.84x = 2,755,667,816.65
  5. Step 5: Solve for x
    x = 2,755,667,816.65/72,658.84
  6. Step 6: Final answer
    x = 37,926.12

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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.