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Finding the Fourth Proportional to 138,761.52, 191,446.20 and 84,990.48

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Solution

The fourth proportional to 138,761.52, 191,446.20 and 84,990.48 is: 117,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,761.52 : 191,446.20 = 84,990.48 : x
  2. Step 2: Convert to fraction form
    138,761.52/191,446.20 = 84,990.48/x
  3. Step 3: Cross multiply
    138,761.52x = 191,446.20 × 84,990.48
  4. Step 4: Simplify right side
    138,761.52x = 16,271,104,432.18
  5. Step 5: Solve for x
    x = 16,271,104,432.18/138,761.52
  6. Step 6: Final answer
    x = 117,259.49

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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.