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Finding the Fourth Proportional to 172,560.54, 258,904.80 and 77,761.92

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Solution

The fourth proportional to 172,560.54, 258,904.80 and 77,761.92 is: 116,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,560.54 : 258,904.80 = 77,761.92 : x
  2. Step 2: Convert to fraction form
    172,560.54/258,904.80 = 77,761.92/x
  3. Step 3: Cross multiply
    172,560.54x = 258,904.80 × 77,761.92
  4. Step 4: Simplify right side
    172,560.54x = 20,132,934,345.22
  5. Step 5: Solve for x
    x = 20,132,934,345.22/172,560.54
  6. Step 6: Final answer
    x = 116,671.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.