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Finding the Fourth Proportional to 102,504.87, 153,437.34 and 75,517.71

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Solution

The fourth proportional to 102,504.87, 153,437.34 and 75,517.71 is: 113,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,504.87 : 153,437.34 = 75,517.71 : x
  2. Step 2: Convert to fraction form
    102,504.87/153,437.34 = 75,517.71/x
  3. Step 3: Cross multiply
    102,504.87x = 153,437.34 × 75,517.71
  4. Step 4: Simplify right side
    102,504.87x = 11,587,236,545.29
  5. Step 5: Solve for x
    x = 11,587,236,545.29/102,504.87
  6. Step 6: Final answer
    x = 113,040.84

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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.