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Finding the Fourth Proportional to 287,817.65, 431,727.49 and 88,137.16

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Solution

The fourth proportional to 287,817.65, 431,727.49 and 88,137.16 is: 132,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,817.65 : 431,727.49 = 88,137.16 : x
  2. Step 2: Convert to fraction form
    287,817.65/431,727.49 = 88,137.16/x
  3. Step 3: Cross multiply
    287,817.65x = 431,727.49 × 88,137.16
  4. Step 4: Simplify right side
    287,817.65x = 38,051,236,569.73
  5. Step 5: Solve for x
    x = 38,051,236,569.73/287,817.65
  6. Step 6: Final answer
    x = 132,206.05

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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.