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Finding the Fourth Proportional to 287,741.58, 431,596.50 and 88,061.82

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Solution

The fourth proportional to 287,741.58, 431,596.50 and 88,061.82 is: 132,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,741.58 : 431,596.50 = 88,061.82 : x
  2. Step 2: Convert to fraction form
    287,741.58/431,596.50 = 88,061.82/x
  3. Step 3: Cross multiply
    287,741.58x = 431,596.50 × 88,061.82
  4. Step 4: Simplify right side
    287,741.58x = 38,007,173,295.63
  5. Step 5: Solve for x
    x = 38,007,173,295.63/287,741.58
  6. Step 6: Final answer
    x = 132,087.87

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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.