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Finding the Fourth Proportional to 187,706.34, 258,915.42 and 123,179.76

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Solution

The fourth proportional to 187,706.34, 258,915.42 and 123,179.76 is: 169,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,706.34 : 258,915.42 = 123,179.76 : x
  2. Step 2: Convert to fraction form
    187,706.34/258,915.42 = 123,179.76/x
  3. Step 3: Cross multiply
    187,706.34x = 258,915.42 × 123,179.76
  4. Step 4: Simplify right side
    187,706.34x = 31,893,139,295.90
  5. Step 5: Solve for x
    x = 31,893,139,295.90/187,706.34
  6. Step 6: Final answer
    x = 169,909.76

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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.