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Finding the Fourth Proportional to 82,133.61, 123,215.61 and 25,987.85

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Solution

The fourth proportional to 82,133.61, 123,215.61 and 25,987.85 is: 38,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,133.61 : 123,215.61 = 25,987.85 : x
  2. Step 2: Convert to fraction form
    82,133.61/123,215.61 = 25,987.85/x
  3. Step 3: Cross multiply
    82,133.61x = 123,215.61 × 25,987.85
  4. Step 4: Simplify right side
    82,133.61x = 3,202,109,426.86
  5. Step 5: Solve for x
    x = 3,202,109,426.86/82,133.61
  6. Step 6: Final answer
    x = 38,986.59

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1.5x scale

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.