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Finding the Fourth Proportional to 77,657.67, 107,166.60 and 43,671.78

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Solution

The fourth proportional to 77,657.67, 107,166.60 and 43,671.78 is: 60,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,657.67 : 107,166.60 = 43,671.78 : x
  2. Step 2: Convert to fraction form
    77,657.67/107,166.60 = 43,671.78/x
  3. Step 3: Cross multiply
    77,657.67x = 107,166.60 × 43,671.78
  4. Step 4: Simplify right side
    77,657.67x = 4,680,156,178.55
  5. Step 5: Solve for x
    x = 4,680,156,178.55/77,657.67
  6. Step 6: Final answer
    x = 60,266.50

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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.