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Finding the Fourth Proportional to 78,473.89, 117,694.23 and 25,870.87

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Solution

The fourth proportional to 78,473.89, 117,694.23 and 25,870.87 is: 38,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,473.89 : 117,694.23 = 25,870.87 : x
  2. Step 2: Convert to fraction form
    78,473.89/117,694.23 = 25,870.87/x
  3. Step 3: Cross multiply
    78,473.89x = 117,694.23 × 25,870.87
  4. Step 4: Simplify right side
    78,473.89x = 3,044,852,124.08
  5. Step 5: Solve for x
    x = 3,044,852,124.08/78,473.89
  6. Step 6: Final answer
    x = 38,800.83

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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.