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Finding the Fourth Proportional to 157,082.80, 235,537.80 and 68,321.20

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Solution

The fourth proportional to 157,082.80, 235,537.80 and 68,321.20 is: 102,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,082.80 : 235,537.80 = 68,321.20 : x
  2. Step 2: Convert to fraction form
    157,082.80/235,537.80 = 68,321.20/x
  3. Step 3: Cross multiply
    157,082.80x = 235,537.80 × 68,321.20
  4. Step 4: Simplify right side
    157,082.80x = 16,092,225,141.36
  5. Step 5: Solve for x
    x = 16,092,225,141.36/157,082.80
  6. Step 6: Final answer
    x = 102,444.22

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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.