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Finding the Fourth Proportional to 78,431.76, 108,252.54 and 48,242.52

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Solution

The fourth proportional to 78,431.76, 108,252.54 and 48,242.52 is: 66,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,431.76 : 108,252.54 = 48,242.52 : x
  2. Step 2: Convert to fraction form
    78,431.76/108,252.54 = 48,242.52/x
  3. Step 3: Cross multiply
    78,431.76x = 108,252.54 × 48,242.52
  4. Step 4: Simplify right side
    78,431.76x = 5,222,375,326.00
  5. Step 5: Solve for x
    x = 5,222,375,326.00/78,431.76
  6. Step 6: Final answer
    x = 66,584.96

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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.