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Finding the Fourth Proportional to 136,196.88, 187,948.44 and 75,767.76

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Solution

The fourth proportional to 136,196.88, 187,948.44 and 75,767.76 is: 104,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,196.88 : 187,948.44 = 75,767.76 : x
  2. Step 2: Convert to fraction form
    136,196.88/187,948.44 = 75,767.76/x
  3. Step 3: Cross multiply
    136,196.88x = 187,948.44 × 75,767.76
  4. Step 4: Simplify right side
    136,196.88x = 14,240,432,294.29
  5. Step 5: Solve for x
    x = 14,240,432,294.29/136,196.88
  6. Step 6: Final answer
    x = 104,557.70

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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.