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Finding the Fourth Proportional to 172,434.92, 237,955.77 and 99,827.73

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Solution

The fourth proportional to 172,434.92, 237,955.77 and 99,827.73 is: 137,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,434.92 : 237,955.77 = 99,827.73 : x
  2. Step 2: Convert to fraction form
    172,434.92/237,955.77 = 99,827.73/x
  3. Step 3: Cross multiply
    172,434.92x = 237,955.77 × 99,827.73
  4. Step 4: Simplify right side
    172,434.92x = 23,754,584,359.50
  5. Step 5: Solve for x
    x = 23,754,584,359.50/172,434.92
  6. Step 6: Final answer
    x = 137,759.71

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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.