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Finding the Fourth Proportional to 287,842.23, 431,764.44 and 88,161.84

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Solution

The fourth proportional to 287,842.23, 431,764.44 and 88,161.84 is: 132,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,842.23 : 431,764.44 = 88,161.84 : x
  2. Step 2: Convert to fraction form
    287,842.23/431,764.44 = 88,161.84/x
  3. Step 3: Cross multiply
    287,842.23x = 431,764.44 × 88,161.84
  4. Step 4: Simplify right side
    287,842.23x = 38,065,147,476.97
  5. Step 5: Solve for x
    x = 38,065,147,476.97/287,842.23
  6. Step 6: Final answer
    x = 132,243.10

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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.