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Finding the Fourth Proportional to 157,082.20, 235,623.30 and 82,173.40

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Solution

The fourth proportional to 157,082.20, 235,623.30 and 82,173.40 is: 123,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,082.20 : 235,623.30 = 82,173.40 : x
  2. Step 2: Convert to fraction form
    157,082.20/235,623.30 = 82,173.40/x
  3. Step 3: Cross multiply
    157,082.20x = 235,623.30 × 82,173.40
  4. Step 4: Simplify right side
    157,082.20x = 19,361,967,680.22
  5. Step 5: Solve for x
    x = 19,361,967,680.22/157,082.20
  6. Step 6: Final answer
    x = 123,260.10

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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.