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Finding the Fourth Proportional to 145,754, 218,660.39 and 61,514.25

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Solution

The fourth proportional to 145,754, 218,660.39 and 61,514.25 is: 92,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,754 : 218,660.39 = 61,514.25 : x
  2. Step 2: Convert to fraction form
    145,754/218,660.39 = 61,514.25/x
  3. Step 3: Cross multiply
    145,754x = 218,660.39 × 61,514.25
  4. Step 4: Simplify right side
    145,754x = 13,450,729,895.56
  5. Step 5: Solve for x
    x = 13,450,729,895.56/145,754
  6. Step 6: Final answer
    x = 92,283.78

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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.