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Finding the Fourth Proportional to 85,164.48, 127,704.24 and 49,637.88

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Solution

The fourth proportional to 85,164.48, 127,704.24 and 49,637.88 is: 74,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,164.48 : 127,704.24 = 49,637.88 : x
  2. Step 2: Convert to fraction form
    85,164.48/127,704.24 = 49,637.88/x
  3. Step 3: Cross multiply
    85,164.48x = 127,704.24 × 49,637.88
  4. Step 4: Simplify right side
    85,164.48x = 6,338,967,740.61
  5. Step 5: Solve for x
    x = 6,338,967,740.61/85,164.48
  6. Step 6: Final answer
    x = 74,432.06

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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.