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Finding the Fourth Proportional to 76,411.29, 114,611.51 and 20,250.15

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Solution

The fourth proportional to 76,411.29, 114,611.51 and 20,250.15 is: 30,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.29 : 114,611.51 = 20,250.15 : x
  2. Step 2: Convert to fraction form
    76,411.29/114,611.51 = 20,250.15/x
  3. Step 3: Cross multiply
    76,411.29x = 114,611.51 × 20,250.15
  4. Step 4: Simplify right side
    76,411.29x = 2,320,900,319.85
  5. Step 5: Solve for x
    x = 2,320,900,319.85/76,411.29
  6. Step 6: Final answer
    x = 30,373.79

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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.