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Finding the Fourth Proportional to 159,612, 239,419.20 and 70,841.64

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Solution

The fourth proportional to 159,612, 239,419.20 and 70,841.64 is: 106,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,612 : 239,419.20 = 70,841.64 : x
  2. Step 2: Convert to fraction form
    159,612/239,419.20 = 70,841.64/x
  3. Step 3: Cross multiply
    159,612x = 239,419.20 × 70,841.64
  4. Step 4: Simplify right side
    159,612x = 16,960,848,775.49
  5. Step 5: Solve for x
    x = 16,960,848,775.49/159,612
  6. Step 6: Final answer
    x = 106,262.99

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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.