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Finding the Fourth Proportional to 138,937.68, 191,741.45 and 78,510.87

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Solution

The fourth proportional to 138,937.68, 191,741.45 and 78,510.87 is: 108,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,937.68 : 191,741.45 = 78,510.87 : x
  2. Step 2: Convert to fraction form
    138,937.68/191,741.45 = 78,510.87/x
  3. Step 3: Cross multiply
    138,937.68x = 191,741.45 × 78,510.87
  4. Step 4: Simplify right side
    138,937.68x = 15,053,787,662.01
  5. Step 5: Solve for x
    x = 15,053,787,662.01/138,937.68
  6. Step 6: Final answer
    x = 108,349.21

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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.