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Finding the Fourth Proportional to 138,502.98, 191,139.75 and 78,076.17

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Solution

The fourth proportional to 138,502.98, 191,139.75 and 78,076.17 is: 107,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,502.98 : 191,139.75 = 78,076.17 : x
  2. Step 2: Convert to fraction form
    138,502.98/191,139.75 = 78,076.17/x
  3. Step 3: Cross multiply
    138,502.98x = 191,139.75 × 78,076.17
  4. Step 4: Simplify right side
    138,502.98x = 14,923,459,614.76
  5. Step 5: Solve for x
    x = 14,923,459,614.76/138,502.98
  6. Step 6: Final answer
    x = 107,748.29

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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.