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Finding the Fourth Proportional to 100,002, 138,000.08 and 59,168.24

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Solution

The fourth proportional to 100,002, 138,000.08 and 59,168.24 is: 81,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,002 : 138,000.08 = 59,168.24 : x
  2. Step 2: Convert to fraction form
    100,002/138,000.08 = 59,168.24/x
  3. Step 3: Cross multiply
    100,002x = 138,000.08 × 59,168.24
  4. Step 4: Simplify right side
    100,002x = 8,165,221,853.46
  5. Step 5: Solve for x
    x = 8,165,221,853.46/100,002
  6. Step 6: Final answer
    x = 81,650.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.