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Finding the Fourth Proportional to 138,996.38, 191,803.46 and 78,563.90

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Solution

The fourth proportional to 138,996.38, 191,803.46 and 78,563.90 is: 108,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,996.38 : 191,803.46 = 78,563.90 : x
  2. Step 2: Convert to fraction form
    138,996.38/191,803.46 = 78,563.90/x
  3. Step 3: Cross multiply
    138,996.38x = 191,803.46 × 78,563.90
  4. Step 4: Simplify right side
    138,996.38x = 15,068,827,851.09
  5. Step 5: Solve for x
    x = 15,068,827,851.09/138,996.38
  6. Step 6: Final answer
    x = 108,411.66

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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.