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Finding the Fourth Proportional to 85,267.80, 127,828.77 and 32,715

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Solution

The fourth proportional to 85,267.80, 127,828.77 and 32,715 is: 49,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,267.80 : 127,828.77 = 32,715 : x
  2. Step 2: Convert to fraction form
    85,267.80/127,828.77 = 32,715/x
  3. Step 3: Cross multiply
    85,267.80x = 127,828.77 × 32,715
  4. Step 4: Simplify right side
    85,267.80x = 4,181,918,210.55
  5. Step 5: Solve for x
    x = 4,181,918,210.55/85,267.80
  6. Step 6: Final answer
    x = 49,044.52

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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.