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Finding the Fourth Proportional to 101,219.57, 151,862.15 and 30,142.80

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Solution

The fourth proportional to 101,219.57, 151,862.15 and 30,142.80 is: 45,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,219.57 : 151,862.15 = 30,142.80 : x
  2. Step 2: Convert to fraction form
    101,219.57/151,862.15 = 30,142.80/x
  3. Step 3: Cross multiply
    101,219.57x = 151,862.15 × 30,142.80
  4. Step 4: Simplify right side
    101,219.57x = 4,577,549,827.42
  5. Step 5: Solve for x
    x = 4,577,549,827.42/101,219.57
  6. Step 6: Final answer
    x = 45,223.96

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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.