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Finding the Fourth Proportional to 230,709.30, 318,379.62 and 128,732.91

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Solution

The fourth proportional to 230,709.30, 318,379.62 and 128,732.91 is: 177,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,709.30 : 318,379.62 = 128,732.91 : x
  2. Step 2: Convert to fraction form
    230,709.30/318,379.62 = 128,732.91/x
  3. Step 3: Cross multiply
    230,709.30x = 318,379.62 × 128,732.91
  4. Step 4: Simplify right side
    230,709.30x = 40,985,934,967.29
  5. Step 5: Solve for x
    x = 40,985,934,967.29/230,709.30
  6. Step 6: Final answer
    x = 177,651.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.