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Finding the Fourth Proportional to 159,765.64, 239,123.22 and 142,269.64

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Solution

The fourth proportional to 159,765.64, 239,123.22 and 142,269.64 is: 212,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,765.64 : 239,123.22 = 142,269.64 : x
  2. Step 2: Convert to fraction form
    159,765.64/239,123.22 = 142,269.64/x
  3. Step 3: Cross multiply
    159,765.64x = 239,123.22 × 142,269.64
  4. Step 4: Simplify right side
    159,765.64x = 34,019,974,425.04
  5. Step 5: Solve for x
    x = 34,019,974,425.04/159,765.64
  6. Step 6: Final answer
    x = 212,936.74

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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.