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Finding the Fourth Proportional to 78,452.88, 108,263.92 and 42,642.08

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Solution

The fourth proportional to 78,452.88, 108,263.92 and 42,642.08 is: 58,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,452.88 : 108,263.92 = 42,642.08 : x
  2. Step 2: Convert to fraction form
    78,452.88/108,263.92 = 42,642.08/x
  3. Step 3: Cross multiply
    78,452.88x = 108,263.92 × 42,642.08
  4. Step 4: Simplify right side
    78,452.88x = 4,616,598,737.75
  5. Step 5: Solve for x
    x = 4,616,598,737.75/78,452.88
  6. Step 6: Final answer
    x = 58,845.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.