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Finding the Fourth Proportional to 100,150.57, 138,207.78 and 55,438.57

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Solution

The fourth proportional to 100,150.57, 138,207.78 and 55,438.57 is: 76,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,150.57 : 138,207.78 = 55,438.57 : x
  2. Step 2: Convert to fraction form
    100,150.57/138,207.78 = 55,438.57/x
  3. Step 3: Cross multiply
    100,150.57x = 138,207.78 × 55,438.57
  4. Step 4: Simplify right side
    100,150.57x = 7,662,040,995.04
  5. Step 5: Solve for x
    x = 7,662,040,995.04/100,150.57
  6. Step 6: Final answer
    x = 76,505.22

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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.