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Finding the Fourth Proportional to 230,218.74, 345,381.52 and 72,443.08

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Solution

The fourth proportional to 230,218.74, 345,381.52 and 72,443.08 is: 108,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,218.74 : 345,381.52 = 72,443.08 : x
  2. Step 2: Convert to fraction form
    230,218.74/345,381.52 = 72,443.08/x
  3. Step 3: Cross multiply
    230,218.74x = 345,381.52 × 72,443.08
  4. Step 4: Simplify right side
    230,218.74x = 25,020,501,083.88
  5. Step 5: Solve for x
    x = 25,020,501,083.88/230,218.74
  6. Step 6: Final answer
    x = 108,681.43

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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.