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Finding the Fourth Proportional to 230,290, 345,435 and 64,082.32

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Solution

The fourth proportional to 230,290, 345,435 and 64,082.32 is: 96,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,290 : 345,435 = 64,082.32 : x
  2. Step 2: Convert to fraction form
    230,290/345,435 = 64,082.32/x
  3. Step 3: Cross multiply
    230,290x = 345,435 × 64,082.32
  4. Step 4: Simplify right side
    230,290x = 22,136,276,209.20
  5. Step 5: Solve for x
    x = 22,136,276,209.20/230,290
  6. Step 6: Final answer
    x = 96,123.48

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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.