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Finding the Fourth Proportional to 78,414.60, 117,623.13 and 28,463.52

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Solution

The fourth proportional to 78,414.60, 117,623.13 and 28,463.52 is: 42,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,414.60 : 117,623.13 = 28,463.52 : x
  2. Step 2: Convert to fraction form
    78,414.60/117,623.13 = 28,463.52/x
  3. Step 3: Cross multiply
    78,414.60x = 117,623.13 × 28,463.52
  4. Step 4: Simplify right side
    78,414.60x = 3,347,968,313.22
  5. Step 5: Solve for x
    x = 3,347,968,313.22/78,414.60
  6. Step 6: Final answer
    x = 42,695.73

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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.