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Finding the Fourth Proportional to 67,421.05, 101,176.71 and 27,978.20

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Solution

The fourth proportional to 67,421.05, 101,176.71 and 27,978.20 is: 41,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,421.05 : 101,176.71 = 27,978.20 : x
  2. Step 2: Convert to fraction form
    67,421.05/101,176.71 = 27,978.20/x
  3. Step 3: Cross multiply
    67,421.05x = 101,176.71 × 27,978.20
  4. Step 4: Simplify right side
    67,421.05x = 2,830,741,581.95
  5. Step 5: Solve for x
    x = 2,830,741,581.95/67,421.05
  6. Step 6: Final answer
    x = 41,986.02

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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.