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Finding the Fourth Proportional to 85,437.81, 127,984.41 and 71,536.77

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Solution

The fourth proportional to 85,437.81, 127,984.41 and 71,536.77 is: 107,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,437.81 : 127,984.41 = 71,536.77 : x
  2. Step 2: Convert to fraction form
    85,437.81/127,984.41 = 71,536.77/x
  3. Step 3: Cross multiply
    85,437.81x = 127,984.41 × 71,536.77
  4. Step 4: Simplify right side
    85,437.81x = 9,155,591,301.76
  5. Step 5: Solve for x
    x = 9,155,591,301.76/85,437.81
  6. Step 6: Final answer
    x = 107,160.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.