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Finding the Fourth Proportional to 230,047.70, 345,082.35 and 72,281.30

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Solution

The fourth proportional to 230,047.70, 345,082.35 and 72,281.30 is: 108,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,047.70 : 345,082.35 = 72,281.30 : x
  2. Step 2: Convert to fraction form
    230,047.70/345,082.35 = 72,281.30/x
  3. Step 3: Cross multiply
    230,047.70x = 345,082.35 × 72,281.30
  4. Step 4: Simplify right side
    230,047.70x = 24,943,000,865.06
  5. Step 5: Solve for x
    x = 24,943,000,865.06/230,047.70
  6. Step 6: Final answer
    x = 108,425.34

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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.