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Finding the Fourth Proportional to 100,084, 138,115.95 and 62,358.28

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Solution

The fourth proportional to 100,084, 138,115.95 and 62,358.28 is: 86,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,084 : 138,115.95 = 62,358.28 : x
  2. Step 2: Convert to fraction form
    100,084/138,115.95 = 62,358.28/x
  3. Step 3: Cross multiply
    100,084x = 138,115.95 × 62,358.28
  4. Step 4: Simplify right side
    100,084x = 8,612,673,082.57
  5. Step 5: Solve for x
    x = 8,612,673,082.57/100,084
  6. Step 6: Final answer
    x = 86,054.45

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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.