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Finding the Fourth Proportional to 77,850.72, 107,434.32 and 43,859.61

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Solution

The fourth proportional to 77,850.72, 107,434.32 and 43,859.61 is: 60,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,850.72 : 107,434.32 = 43,859.61 : x
  2. Step 2: Convert to fraction form
    77,850.72/107,434.32 = 43,859.61/x
  3. Step 3: Cross multiply
    77,850.72x = 107,434.32 × 43,859.61
  4. Step 4: Simplify right side
    77,850.72x = 4,712,027,375.82
  5. Step 5: Solve for x
    x = 4,712,027,375.82/77,850.72
  6. Step 6: Final answer
    x = 60,526.45

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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.