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Finding the Fourth Proportional to 287,818.65, 431,728.99 and 88,138.16

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Solution

The fourth proportional to 287,818.65, 431,728.99 and 88,138.16 is: 132,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,818.65 : 431,728.99 = 88,138.16 : x
  2. Step 2: Convert to fraction form
    287,818.65/431,728.99 = 88,138.16/x
  3. Step 3: Cross multiply
    287,818.65x = 431,728.99 × 88,138.16
  4. Step 4: Simplify right side
    287,818.65x = 38,051,798,797.26
  5. Step 5: Solve for x
    x = 38,051,798,797.26/287,818.65
  6. Step 6: Final answer
    x = 132,207.55

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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.