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Finding the Fourth Proportional to 78,326.72, 108,113.68 and 47,710.88

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Solution

The fourth proportional to 78,326.72, 108,113.68 and 47,710.88 is: 65,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,326.72 : 108,113.68 = 47,710.88 : x
  2. Step 2: Convert to fraction form
    78,326.72/108,113.68 = 47,710.88/x
  3. Step 3: Cross multiply
    78,326.72x = 108,113.68 × 47,710.88
  4. Step 4: Simplify right side
    78,326.72x = 5,158,198,812.84
  5. Step 5: Solve for x
    x = 5,158,198,812.84/78,326.72
  6. Step 6: Final answer
    x = 65,854.91

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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.