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Finding the Fourth Proportional to 230,335.80, 345,311.70 and 97,318.20

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Solution

The fourth proportional to 230,335.80, 345,311.70 and 97,318.20 is: 145,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,335.80 : 345,311.70 = 97,318.20 : x
  2. Step 2: Convert to fraction form
    230,335.80/345,311.70 = 97,318.20/x
  3. Step 3: Cross multiply
    230,335.80x = 345,311.70 × 97,318.20
  4. Step 4: Simplify right side
    230,335.80x = 33,605,113,082.94
  5. Step 5: Solve for x
    x = 33,605,113,082.94/230,335.80
  6. Step 6: Final answer
    x = 145,896.18

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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.