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Finding the Fourth Proportional to 136,758, 188,726.28 and 77,142

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Solution

The fourth proportional to 136,758, 188,726.28 and 77,142 is: 106,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,758 : 188,726.28 = 77,142 : x
  2. Step 2: Convert to fraction form
    136,758/188,726.28 = 77,142/x
  3. Step 3: Cross multiply
    136,758x = 188,726.28 × 77,142
  4. Step 4: Simplify right side
    136,758x = 14,558,722,691.76
  5. Step 5: Solve for x
    x = 14,558,722,691.76/136,758
  6. Step 6: Final answer
    x = 106,456.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.