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Finding the Fourth Proportional to 343,872.30, 515,882.16 and 103,965.69

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Solution

The fourth proportional to 343,872.30, 515,882.16 and 103,965.69 is: 155,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,872.30 : 515,882.16 = 103,965.69 : x
  2. Step 2: Convert to fraction form
    343,872.30/515,882.16 = 103,965.69/x
  3. Step 3: Cross multiply
    343,872.30x = 515,882.16 × 103,965.69
  4. Step 4: Simplify right side
    343,872.30x = 53,634,044,723.09
  5. Step 5: Solve for x
    x = 53,634,044,723.09/343,872.30
  6. Step 6: Final answer
    x = 155,970.82

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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.