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Finding the Fourth Proportional to 67,019.78, 100,376.51 and 31,984.04

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Solution

The fourth proportional to 67,019.78, 100,376.51 and 31,984.04 is: 47,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,019.78 : 100,376.51 = 31,984.04 : x
  2. Step 2: Convert to fraction form
    67,019.78/100,376.51 = 31,984.04/x
  3. Step 3: Cross multiply
    67,019.78x = 100,376.51 × 31,984.04
  4. Step 4: Simplify right side
    67,019.78x = 3,210,445,649.10
  5. Step 5: Solve for x
    x = 3,210,445,649.10/67,019.78
  6. Step 6: Final answer
    x = 47,902.96

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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.