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Finding the Fourth Proportional to 230,307.81, 345,474.09 and 72,548.61

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Solution

The fourth proportional to 230,307.81, 345,474.09 and 72,548.61 is: 108,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,307.81 : 345,474.09 = 72,548.61 : x
  2. Step 2: Convert to fraction form
    230,307.81/345,474.09 = 72,548.61/x
  3. Step 3: Cross multiply
    230,307.81x = 345,474.09 × 72,548.61
  4. Step 4: Simplify right side
    230,307.81x = 25,063,665,020.51
  5. Step 5: Solve for x
    x = 25,063,665,020.51/230,307.81
  6. Step 6: Final answer
    x = 108,826.81

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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.