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Finding the Fourth Proportional to 230,332.80, 345,307.20 and 97,315.20

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Solution

The fourth proportional to 230,332.80, 345,307.20 and 97,315.20 is: 145,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,332.80 : 345,307.20 = 97,315.20 : x
  2. Step 2: Convert to fraction form
    230,332.80/345,307.20 = 97,315.20/x
  3. Step 3: Cross multiply
    230,332.80x = 345,307.20 × 97,315.20
  4. Step 4: Simplify right side
    230,332.80x = 33,603,639,229.44
  5. Step 5: Solve for x
    x = 33,603,639,229.44/230,332.80
  6. Step 6: Final answer
    x = 145,891.68

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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.