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Finding the Fourth Proportional to 230,390.65, 345,741.66 and 80,632.24

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Solution

The fourth proportional to 230,390.65, 345,741.66 and 80,632.24 is: 121,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,390.65 : 345,741.66 = 80,632.24 : x
  2. Step 2: Convert to fraction form
    230,390.65/345,741.66 = 80,632.24/x
  3. Step 3: Cross multiply
    230,390.65x = 345,741.66 × 80,632.24
  4. Step 4: Simplify right side
    230,390.65x = 27,877,924,507.12
  5. Step 5: Solve for x
    x = 27,877,924,507.12/230,390.65
  6. Step 6: Final answer
    x = 121,002.85

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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.