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Finding the Fourth Proportional to 136,156, 187,895.28 and 76,540

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Solution

The fourth proportional to 136,156, 187,895.28 and 76,540 is: 105,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,156 : 187,895.28 = 76,540 : x
  2. Step 2: Convert to fraction form
    136,156/187,895.28 = 76,540/x
  3. Step 3: Cross multiply
    136,156x = 187,895.28 × 76,540
  4. Step 4: Simplify right side
    136,156x = 14,381,504,731.20
  5. Step 5: Solve for x
    x = 14,381,504,731.20/136,156
  6. Step 6: Final answer
    x = 105,625.20

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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.