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Finding the Fourth Proportional to 287,699.12, 431,532.96 and 88,019.53

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Solution

The fourth proportional to 287,699.12, 431,532.96 and 88,019.53 is: 132,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,699.12 : 431,532.96 = 88,019.53 : x
  2. Step 2: Convert to fraction form
    287,699.12/431,532.96 = 88,019.53/x
  3. Step 3: Cross multiply
    287,699.12x = 431,532.96 × 88,019.53
  4. Step 4: Simplify right side
    287,699.12x = 37,983,327,239.88
  5. Step 5: Solve for x
    x = 37,983,327,239.88/287,699.12
  6. Step 6: Final answer
    x = 132,024.48

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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.