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Finding the Fourth Proportional to 78,471.52, 108,098.48 and 56,897.88

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Solution

The fourth proportional to 78,471.52, 108,098.48 and 56,897.88 is: 78,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471.52 : 108,098.48 = 56,897.88 : x
  2. Step 2: Convert to fraction form
    78,471.52/108,098.48 = 56,897.88/x
  3. Step 3: Cross multiply
    78,471.52x = 108,098.48 × 56,897.88
  4. Step 4: Simplify right side
    78,471.52x = 6,150,574,080.10
  5. Step 5: Solve for x
    x = 6,150,574,080.10/78,471.52
  6. Step 6: Final answer
    x = 78,379.70

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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.