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Finding the Fourth Proportional to 230,471.62, 345,707.34 and 72,712.42

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Solution

The fourth proportional to 230,471.62, 345,707.34 and 72,712.42 is: 109,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,471.62 : 345,707.34 = 72,712.42 : x
  2. Step 2: Convert to fraction form
    230,471.62/345,707.34 = 72,712.42/x
  3. Step 3: Cross multiply
    230,471.62x = 345,707.34 × 72,712.42
  4. Step 4: Simplify right side
    230,471.62x = 25,137,217,303.16
  5. Step 5: Solve for x
    x = 25,137,217,303.16/230,471.62
  6. Step 6: Final answer
    x = 109,068.60

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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.