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Finding the Fourth Proportional to 230,082.72, 345,209.40 and 103,684.56

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Solution

The fourth proportional to 230,082.72, 345,209.40 and 103,684.56 is: 155,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,082.72 : 345,209.40 = 103,684.56 : x
  2. Step 2: Convert to fraction form
    230,082.72/345,209.40 = 103,684.56/x
  3. Step 3: Cross multiply
    230,082.72x = 345,209.40 × 103,684.56
  4. Step 4: Simplify right side
    230,082.72x = 35,792,884,746.86
  5. Step 5: Solve for x
    x = 35,792,884,746.86/230,082.72
  6. Step 6: Final answer
    x = 155,565.29

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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.