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Finding the Fourth Proportional to 138,527, 191,167.31 and 78,911

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Solution

The fourth proportional to 138,527, 191,167.31 and 78,911 is: 108,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,527 : 191,167.31 = 78,911 : x
  2. Step 2: Convert to fraction form
    138,527/191,167.31 = 78,911/x
  3. Step 3: Cross multiply
    138,527x = 191,167.31 × 78,911
  4. Step 4: Simplify right side
    138,527x = 15,085,203,204.86
  5. Step 5: Solve for x
    x = 15,085,203,204.86/138,527
  6. Step 6: Final answer
    x = 108,897.21

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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.