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Finding the Fourth Proportional to 75,285.57, 112,731.07 and 52,978.17

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Solution

The fourth proportional to 75,285.57, 112,731.07 and 52,978.17 is: 79,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,285.57 : 112,731.07 = 52,978.17 : x
  2. Step 2: Convert to fraction form
    75,285.57/112,731.07 = 52,978.17/x
  3. Step 3: Cross multiply
    75,285.57x = 112,731.07 × 52,978.17
  4. Step 4: Simplify right side
    75,285.57x = 5,972,285,790.74
  5. Step 5: Solve for x
    x = 5,972,285,790.74/75,285.57
  6. Step 6: Final answer
    x = 79,328.43

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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.