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Finding the Fourth Proportional to 78,083.66, 107,756 and 42,273.76

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Solution

The fourth proportional to 78,083.66, 107,756 and 42,273.76 is: 58,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,083.66 : 107,756 = 42,273.76 : x
  2. Step 2: Convert to fraction form
    78,083.66/107,756 = 42,273.76/x
  3. Step 3: Cross multiply
    78,083.66x = 107,756 × 42,273.76
  4. Step 4: Simplify right side
    78,083.66x = 4,555,251,282.56
  5. Step 5: Solve for x
    x = 4,555,251,282.56/78,083.66
  6. Step 6: Final answer
    x = 58,338.09

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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.