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Finding the Fourth Proportional to 76,892.50, 106,178.39 and 48,261.78

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Solution

The fourth proportional to 76,892.50, 106,178.39 and 48,261.78 is: 66,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,892.50 : 106,178.39 = 48,261.78 : x
  2. Step 2: Convert to fraction form
    76,892.50/106,178.39 = 48,261.78/x
  3. Step 3: Cross multiply
    76,892.50x = 106,178.39 × 48,261.78
  4. Step 4: Simplify right side
    76,892.50x = 5,124,358,310.08
  5. Step 5: Solve for x
    x = 5,124,358,310.08/76,892.50
  6. Step 6: Final answer
    x = 66,643.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.