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Finding the Fourth Proportional to 172,124.91, 258,177.33 and 77,330.61

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Solution

The fourth proportional to 172,124.91, 258,177.33 and 77,330.61 is: 115,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,124.91 : 258,177.33 = 77,330.61 : x
  2. Step 2: Convert to fraction form
    172,124.91/258,177.33 = 77,330.61/x
  3. Step 3: Cross multiply
    172,124.91x = 258,177.33 × 77,330.61
  4. Step 4: Simplify right side
    172,124.91x = 19,965,010,417.07
  5. Step 5: Solve for x
    x = 19,965,010,417.07/172,124.91
  6. Step 6: Final answer
    x = 115,991.41

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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.