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Finding the Fourth Proportional to 81,019, 121,522.38 and 28,432

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Solution

The fourth proportional to 81,019, 121,522.38 and 28,432 is: 42,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,019 : 121,522.38 = 28,432 : x
  2. Step 2: Convert to fraction form
    81,019/121,522.38 = 28,432/x
  3. Step 3: Cross multiply
    81,019x = 121,522.38 × 28,432
  4. Step 4: Simplify right side
    81,019x = 3,455,124,308.16
  5. Step 5: Solve for x
    x = 3,455,124,308.16/81,019
  6. Step 6: Final answer
    x = 42,645.85

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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.