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Finding the Fourth Proportional to 230,642.93, 345,962.33 and 72,871.38

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Solution

The fourth proportional to 230,642.93, 345,962.33 and 72,871.38 is: 109,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,642.93 : 345,962.33 = 72,871.38 : x
  2. Step 2: Convert to fraction form
    230,642.93/345,962.33 = 72,871.38/x
  3. Step 3: Cross multiply
    230,642.93x = 345,962.33 × 72,871.38
  4. Step 4: Simplify right side
    230,642.93x = 25,210,752,415.12
  5. Step 5: Solve for x
    x = 25,210,752,415.12/230,642.93
  6. Step 6: Final answer
    x = 109,306.42

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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.