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Finding the Fourth Proportional to 88,531.20, 132,872.40 and 35,978.40

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Solution

The fourth proportional to 88,531.20, 132,872.40 and 35,978.40 is: 53,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,531.20 : 132,872.40 = 35,978.40 : x
  2. Step 2: Convert to fraction form
    88,531.20/132,872.40 = 35,978.40/x
  3. Step 3: Cross multiply
    88,531.20x = 132,872.40 × 35,978.40
  4. Step 4: Simplify right side
    88,531.20x = 4,780,536,356.16
  5. Step 5: Solve for x
    x = 4,780,536,356.16/88,531.20
  6. Step 6: Final answer
    x = 53,998.32

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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.