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Finding the Fourth Proportional to 105,589.67, 145,713.78 and 57,843.20

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Solution

The fourth proportional to 105,589.67, 145,713.78 and 57,843.20 is: 79,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,589.67 : 145,713.78 = 57,843.20 : x
  2. Step 2: Convert to fraction form
    105,589.67/145,713.78 = 57,843.20/x
  3. Step 3: Cross multiply
    105,589.67x = 145,713.78 × 57,843.20
  4. Step 4: Simplify right side
    105,589.67x = 8,428,550,590.73
  5. Step 5: Solve for x
    x = 8,428,550,590.73/105,589.67
  6. Step 6: Final answer
    x = 79,823.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.