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Finding the Fourth Proportional to 78,497.91, 108,272.23 and 51,631.83

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Solution

The fourth proportional to 78,497.91, 108,272.23 and 51,631.83 is: 71,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,497.91 : 108,272.23 = 51,631.83 : x
  2. Step 2: Convert to fraction form
    78,497.91/108,272.23 = 51,631.83/x
  3. Step 3: Cross multiply
    78,497.91x = 108,272.23 × 51,631.83
  4. Step 4: Simplify right side
    78,497.91x = 5,590,293,244.00
  5. Step 5: Solve for x
    x = 5,590,293,244.00/78,497.91
  6. Step 6: Final answer
    x = 71,215.82

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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.