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Finding the Fourth Proportional to 77,644.64, 107,143.71 and 43,647.74

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Solution

The fourth proportional to 77,644.64, 107,143.71 and 43,647.74 is: 60,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,644.64 : 107,143.71 = 43,647.74 : x
  2. Step 2: Convert to fraction form
    77,644.64/107,143.71 = 43,647.74/x
  3. Step 3: Cross multiply
    77,644.64x = 107,143.71 × 43,647.74
  4. Step 4: Simplify right side
    77,644.64x = 4,676,580,796.72
  5. Step 5: Solve for x
    x = 4,676,580,796.72/77,644.64
  6. Step 6: Final answer
    x = 60,230.57

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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.