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Finding the Fourth Proportional to 67,431.25, 101,151.74 and 25,878.25

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Solution

The fourth proportional to 67,431.25, 101,151.74 and 25,878.25 is: 38,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,431.25 : 101,151.74 = 25,878.25 : x
  2. Step 2: Convert to fraction form
    67,431.25/101,151.74 = 25,878.25/x
  3. Step 3: Cross multiply
    67,431.25x = 101,151.74 × 25,878.25
  4. Step 4: Simplify right side
    67,431.25x = 2,617,630,015.66
  5. Step 5: Solve for x
    x = 2,617,630,015.66/67,431.25
  6. Step 6: Final answer
    x = 38,819.24

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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.