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Finding the Fourth Proportional to 78,618.21, 117,747.66 and 61,712.74

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Solution

The fourth proportional to 78,618.21, 117,747.66 and 61,712.74 is: 92,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,618.21 : 117,747.66 = 61,712.74 : x
  2. Step 2: Convert to fraction form
    78,618.21/117,747.66 = 61,712.74/x
  3. Step 3: Cross multiply
    78,618.21x = 117,747.66 × 61,712.74
  4. Step 4: Simplify right side
    78,618.21x = 7,266,530,356.68
  5. Step 5: Solve for x
    x = 7,266,530,356.68/78,618.21
  6. Step 6: Final answer
    x = 92,428.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.