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Finding the Fourth Proportional to 100,016.10, 138,020.13 and 54,693.57

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Solution

The fourth proportional to 100,016.10, 138,020.13 and 54,693.57 is: 75,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,016.10 : 138,020.13 = 54,693.57 : x
  2. Step 2: Convert to fraction form
    100,016.10/138,020.13 = 54,693.57/x
  3. Step 3: Cross multiply
    100,016.10x = 138,020.13 × 54,693.57
  4. Step 4: Simplify right side
    100,016.10x = 7,548,813,641.56
  5. Step 5: Solve for x
    x = 7,548,813,641.56/100,016.10
  6. Step 6: Final answer
    x = 75,475.98

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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.