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Finding the Fourth Proportional to 67,315, 100,987.08 and 25,762

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Solution

The fourth proportional to 67,315, 100,987.08 and 25,762 is: 38,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,315 : 100,987.08 = 25,762 : x
  2. Step 2: Convert to fraction form
    67,315/100,987.08 = 25,762/x
  3. Step 3: Cross multiply
    67,315x = 100,987.08 × 25,762
  4. Step 4: Simplify right side
    67,315x = 2,601,629,154.96
  5. Step 5: Solve for x
    x = 2,601,629,154.96/67,315
  6. Step 6: Final answer
    x = 38,648.58

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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.