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Finding the Fourth Proportional to 159,320.30, 238,980.45 and 137,158.70

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Solution

The fourth proportional to 159,320.30, 238,980.45 and 137,158.70 is: 205,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,320.30 : 238,980.45 = 137,158.70 : x
  2. Step 2: Convert to fraction form
    159,320.30/238,980.45 = 137,158.70/x
  3. Step 3: Cross multiply
    159,320.30x = 238,980.45 × 137,158.70
  4. Step 4: Simplify right side
    159,320.30x = 32,778,247,847.42
  5. Step 5: Solve for x
    x = 32,778,247,847.42/159,320.30
  6. Step 6: Final answer
    x = 205,738.05

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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.