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Finding the Fourth Proportional to 159,825.60, 239,446.80 and 130,082.40

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Solution

The fourth proportional to 159,825.60, 239,446.80 and 130,082.40 is: 194,886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,825.60 : 239,446.80 = 130,082.40 : x
  2. Step 2: Convert to fraction form
    159,825.60/239,446.80 = 130,082.40/x
  3. Step 3: Cross multiply
    159,825.60x = 239,446.80 × 130,082.40
  4. Step 4: Simplify right side
    159,825.60x = 31,147,814,416.32
  5. Step 5: Solve for x
    x = 31,147,814,416.32/159,825.60
  6. Step 6: Final answer
    x = 194,886.27

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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.