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Finding the Fourth Proportional to 230,265, 345,381.66 and 141,532.20

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Solution

The fourth proportional to 230,265, 345,381.66 and 141,532.20 is: 212,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,265 : 345,381.66 = 141,532.20 : x
  2. Step 2: Convert to fraction form
    230,265/345,381.66 = 141,532.20/x
  3. Step 3: Cross multiply
    230,265x = 345,381.66 × 141,532.20
  4. Step 4: Simplify right side
    230,265x = 48,882,626,179.45
  5. Step 5: Solve for x
    x = 48,882,626,179.45/230,265
  6. Step 6: Final answer
    x = 212,288.56

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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.