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Finding the Fourth Proportional to 159,697.85, 239,264.89 and 142,322.13

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Solution

The fourth proportional to 159,697.85, 239,264.89 and 142,322.13 is: 213,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,697.85 : 239,264.89 = 142,322.13 : x
  2. Step 2: Convert to fraction form
    159,697.85/239,264.89 = 142,322.13/x
  3. Step 3: Cross multiply
    159,697.85x = 239,264.89 × 142,322.13
  4. Step 4: Simplify right side
    159,697.85x = 34,052,688,423.21
  5. Step 5: Solve for x
    x = 34,052,688,423.21/159,697.85
  6. Step 6: Final answer
    x = 213,231.98

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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.