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Finding the Fourth Proportional to 138,774.40, 191,521.28 and 78,359.87

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Solution

The fourth proportional to 138,774.40, 191,521.28 and 78,359.87 is: 108,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,774.40 : 191,521.28 = 78,359.87 : x
  2. Step 2: Convert to fraction form
    138,774.40/191,521.28 = 78,359.87/x
  3. Step 3: Cross multiply
    138,774.40x = 191,521.28 × 78,359.87
  4. Step 4: Simplify right side
    138,774.40x = 15,007,583,277.74
  5. Step 5: Solve for x
    x = 15,007,583,277.74/138,774.40
  6. Step 6: Final answer
    x = 108,143.75

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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.