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Finding the Fourth Proportional to 142,891.68, 214,385.52 and 100,241.55

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Solution

The fourth proportional to 142,891.68, 214,385.52 and 100,241.55 is: 150,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,891.68 : 214,385.52 = 100,241.55 : x
  2. Step 2: Convert to fraction form
    142,891.68/214,385.52 = 100,241.55/x
  3. Step 3: Cross multiply
    142,891.68x = 214,385.52 × 100,241.55
  4. Step 4: Simplify right side
    142,891.68x = 21,490,336,822.36
  5. Step 5: Solve for x
    x = 21,490,336,822.36/142,891.68
  6. Step 6: Final answer
    x = 150,396.00

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1.5x scale

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.