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Finding the Fourth Proportional to 142,311.64, 213,467.48 and 100,017.88

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Solution

The fourth proportional to 142,311.64, 213,467.48 and 100,017.88 is: 150,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,311.64 : 213,467.48 = 100,017.88 : x
  2. Step 2: Convert to fraction form
    142,311.64/213,467.48 = 100,017.88/x
  3. Step 3: Cross multiply
    142,311.64x = 213,467.48 × 100,017.88
  4. Step 4: Simplify right side
    142,311.64x = 21,350,564,798.54
  5. Step 5: Solve for x
    x = 21,350,564,798.54/142,311.64
  6. Step 6: Final answer
    x = 150,026.83

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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.