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Finding the Fourth Proportional to 78,284.25, 108,029.12 and 42,472.89

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Solution

The fourth proportional to 78,284.25, 108,029.12 and 42,472.89 is: 58,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284.25 : 108,029.12 = 42,472.89 : x
  2. Step 2: Convert to fraction form
    78,284.25/108,029.12 = 42,472.89/x
  3. Step 3: Cross multiply
    78,284.25x = 108,029.12 × 42,472.89
  4. Step 4: Simplify right side
    78,284.25x = 4,588,308,718.19
  5. Step 5: Solve for x
    x = 4,588,308,718.19/78,284.25
  6. Step 6: Final answer
    x = 58,610.88

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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.