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Finding the Fourth Proportional to 85,919.68, 118,299.72 and 78,046.48

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Solution

The fourth proportional to 85,919.68, 118,299.72 and 78,046.48 is: 107,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,919.68 : 118,299.72 = 78,046.48 : x
  2. Step 2: Convert to fraction form
    85,919.68/118,299.72 = 78,046.48/x
  3. Step 3: Cross multiply
    85,919.68x = 118,299.72 × 78,046.48
  4. Step 4: Simplify right side
    85,919.68x = 9,232,876,730.99
  5. Step 5: Solve for x
    x = 9,232,876,730.99/85,919.68
  6. Step 6: Final answer
    x = 107,459.39

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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.