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Finding the Fourth Proportional to 100,350, 150,535.08 and 26,478

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Solution

The fourth proportional to 100,350, 150,535.08 and 26,478 is: 39,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,350 : 150,535.08 = 26,478 : x
  2. Step 2: Convert to fraction form
    100,350/150,535.08 = 26,478/x
  3. Step 3: Cross multiply
    100,350x = 150,535.08 × 26,478
  4. Step 4: Simplify right side
    100,350x = 3,985,867,848.24
  5. Step 5: Solve for x
    x = 3,985,867,848.24/100,350
  6. Step 6: Final answer
    x = 39,719.66

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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.