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Finding the Fourth Proportional to 142,854.40, 214,775.70 and 133,604.20

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Solution

The fourth proportional to 142,854.40, 214,775.70 and 133,604.20 is: 200,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,854.40 : 214,775.70 = 133,604.20 : x
  2. Step 2: Convert to fraction form
    142,854.40/214,775.70 = 133,604.20/x
  3. Step 3: Cross multiply
    142,854.40x = 214,775.70 × 133,604.20
  4. Step 4: Simplify right side
    142,854.40x = 28,694,935,577.94
  5. Step 5: Solve for x
    x = 28,694,935,577.94/142,854.40
  6. Step 6: Final answer
    x = 200,868.41

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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.