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Finding the Fourth Proportional to 138,843.47, 191,603.66 and 78,411.17

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Solution

The fourth proportional to 138,843.47, 191,603.66 and 78,411.17 is: 108,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,843.47 : 191,603.66 = 78,411.17 : x
  2. Step 2: Convert to fraction form
    138,843.47/191,603.66 = 78,411.17/x
  3. Step 3: Cross multiply
    138,843.47x = 191,603.66 × 78,411.17
  4. Step 4: Simplify right side
    138,843.47x = 15,023,865,806.81
  5. Step 5: Solve for x
    x = 15,023,865,806.81/138,843.47
  6. Step 6: Final answer
    x = 108,207.22

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1.5x scale

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.