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Finding the Fourth Proportional to 287,812.80, 431,720.24 and 88,132.37

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Solution

The fourth proportional to 287,812.80, 431,720.24 and 88,132.37 is: 132,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,812.80 : 431,720.24 = 88,132.37 : x
  2. Step 2: Convert to fraction form
    287,812.80/431,720.24 = 88,132.37/x
  3. Step 3: Cross multiply
    287,812.80x = 431,720.24 × 88,132.37
  4. Step 4: Simplify right side
    287,812.80x = 38,048,525,328.91
  5. Step 5: Solve for x
    x = 38,048,525,328.91/287,812.80
  6. Step 6: Final answer
    x = 132,198.86

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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.