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Finding the Fourth Proportional to 230,389.65, 345,740.16 and 80,631.24

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Solution

The fourth proportional to 230,389.65, 345,740.16 and 80,631.24 is: 121,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,389.65 : 345,740.16 = 80,631.24 : x
  2. Step 2: Convert to fraction form
    230,389.65/345,740.16 = 80,631.24/x
  3. Step 3: Cross multiply
    230,389.65x = 345,740.16 × 80,631.24
  4. Step 4: Simplify right side
    230,389.65x = 27,877,457,818.60
  5. Step 5: Solve for x
    x = 27,877,457,818.60/230,389.65
  6. Step 6: Final answer
    x = 121,001.35

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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.