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Finding the Fourth Proportional to 138,496.52, 191,119.65 and 78,079.70

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Solution

The fourth proportional to 138,496.52, 191,119.65 and 78,079.70 is: 107,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,496.52 : 191,119.65 = 78,079.70 : x
  2. Step 2: Convert to fraction form
    138,496.52/191,119.65 = 78,079.70/x
  3. Step 3: Cross multiply
    138,496.52x = 191,119.65 × 78,079.70
  4. Step 4: Simplify right side
    138,496.52x = 14,922,564,936.11
  5. Step 5: Solve for x
    x = 14,922,564,936.11/138,496.52
  6. Step 6: Final answer
    x = 107,746.86

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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.