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Finding the Fourth Proportional to 138,414.76, 191,011.50 and 78,004.79

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Solution

The fourth proportional to 138,414.76, 191,011.50 and 78,004.79 is: 107,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,414.76 : 191,011.50 = 78,004.79 : x
  2. Step 2: Convert to fraction form
    138,414.76/191,011.50 = 78,004.79/x
  3. Step 3: Cross multiply
    138,414.76x = 191,011.50 × 78,004.79
  4. Step 4: Simplify right side
    138,414.76x = 14,899,811,706.32
  5. Step 5: Solve for x
    x = 14,899,811,706.32/138,414.76
  6. Step 6: Final answer
    x = 107,646.12

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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.