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Finding the Fourth Proportional to 77,236.88, 106,578.12 and 43,240.64

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Solution

The fourth proportional to 77,236.88, 106,578.12 and 43,240.64 is: 59,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,236.88 : 106,578.12 = 43,240.64 : x
  2. Step 2: Convert to fraction form
    77,236.88/106,578.12 = 43,240.64/x
  3. Step 3: Cross multiply
    77,236.88x = 106,578.12 × 43,240.64
  4. Step 4: Simplify right side
    77,236.88x = 4,608,506,118.80
  5. Step 5: Solve for x
    x = 4,608,506,118.80/77,236.88
  6. Step 6: Final answer
    x = 59,667.17

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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.