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Finding the Fourth Proportional to 78,470.64, 108,343.98 and 48,294.90

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Solution

The fourth proportional to 78,470.64, 108,343.98 and 48,294.90 is: 66,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470.64 : 108,343.98 = 48,294.90 : x
  2. Step 2: Convert to fraction form
    78,470.64/108,343.98 = 48,294.90/x
  3. Step 3: Cross multiply
    78,470.64x = 108,343.98 × 48,294.90
  4. Step 4: Simplify right side
    78,470.64x = 5,232,461,679.70
  5. Step 5: Solve for x
    x = 5,232,461,679.70/78,470.64
  6. Step 6: Final answer
    x = 66,680.50

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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.