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Finding the Fourth Proportional to 281,082.16, 421,652.76 and 91,557.29

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Solution

The fourth proportional to 281,082.16, 421,652.76 and 91,557.29 is: 137,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,082.16 : 421,652.76 = 91,557.29 : x
  2. Step 2: Convert to fraction form
    281,082.16/421,652.76 = 91,557.29/x
  3. Step 3: Cross multiply
    281,082.16x = 421,652.76 × 91,557.29
  4. Step 4: Simplify right side
    281,082.16x = 38,605,384,026.62
  5. Step 5: Solve for x
    x = 38,605,384,026.62/281,082.16
  6. Step 6: Final answer
    x = 137,345.55

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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.