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Finding the Fourth Proportional to 143,419.80, 215,129.70 and 109,594.20

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Solution

The fourth proportional to 143,419.80, 215,129.70 and 109,594.20 is: 164,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,419.80 : 215,129.70 = 109,594.20 : x
  2. Step 2: Convert to fraction form
    143,419.80/215,129.70 = 109,594.20/x
  3. Step 3: Cross multiply
    143,419.80x = 215,129.70 × 109,594.20
  4. Step 4: Simplify right side
    143,419.80x = 23,576,967,367.74
  5. Step 5: Solve for x
    x = 23,576,967,367.74/143,419.80
  6. Step 6: Final answer
    x = 164,391.30

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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.