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Finding the Fourth Proportional to 135,655.40, 187,159.56 and 81,920

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Solution

The fourth proportional to 135,655.40, 187,159.56 and 81,920 is: 113,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,655.40 : 187,159.56 = 81,920 : x
  2. Step 2: Convert to fraction form
    135,655.40/187,159.56 = 81,920/x
  3. Step 3: Cross multiply
    135,655.40x = 187,159.56 × 81,920
  4. Step 4: Simplify right side
    135,655.40x = 15,332,111,155.20
  5. Step 5: Solve for x
    x = 15,332,111,155.20/135,655.40
  6. Step 6: Final answer
    x = 113,022.49

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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.