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Finding the Fourth Proportional to 138,821.44, 191,573.76 and 75,159.76

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Solution

The fourth proportional to 138,821.44, 191,573.76 and 75,159.76 is: 103,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,821.44 : 191,573.76 = 75,159.76 : x
  2. Step 2: Convert to fraction form
    138,821.44/191,573.76 = 75,159.76/x
  3. Step 3: Cross multiply
    138,821.44x = 191,573.76 × 75,159.76
  4. Step 4: Simplify right side
    138,821.44x = 14,398,637,823.90
  5. Step 5: Solve for x
    x = 14,398,637,823.90/138,821.44
  6. Step 6: Final answer
    x = 103,720.56

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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.