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Finding the Fourth Proportional to 136,177.66, 187,848.42 and 81,715.74

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Solution

The fourth proportional to 136,177.66, 187,848.42 and 81,715.74 is: 112,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,177.66 : 187,848.42 = 81,715.74 : x
  2. Step 2: Convert to fraction form
    136,177.66/187,848.42 = 81,715.74/x
  3. Step 3: Cross multiply
    136,177.66x = 187,848.42 × 81,715.74
  4. Step 4: Simplify right side
    136,177.66x = 15,350,171,637.27
  5. Step 5: Solve for x
    x = 15,350,171,637.27/136,177.66
  6. Step 6: Final answer
    x = 112,721.66

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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.