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Finding the Fourth Proportional to 85,275.80, 127,840.76 and 32,723

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Solution

The fourth proportional to 85,275.80, 127,840.76 and 32,723 is: 49,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,275.80 : 127,840.76 = 32,723 : x
  2. Step 2: Convert to fraction form
    85,275.80/127,840.76 = 32,723/x
  3. Step 3: Cross multiply
    85,275.80x = 127,840.76 × 32,723
  4. Step 4: Simplify right side
    85,275.80x = 4,183,333,189.48
  5. Step 5: Solve for x
    x = 4,183,333,189.48/85,275.80
  6. Step 6: Final answer
    x = 49,056.51

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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.