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Finding the Fourth Proportional to 78,873, 118,305.18 and 32,165.16

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Solution

The fourth proportional to 78,873, 118,305.18 and 32,165.16 is: 48,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,873 : 118,305.18 = 32,165.16 : x
  2. Step 2: Convert to fraction form
    78,873/118,305.18 = 32,165.16/x
  3. Step 3: Cross multiply
    78,873x = 118,305.18 × 32,165.16
  4. Step 4: Simplify right side
    78,873x = 3,805,305,043.53
  5. Step 5: Solve for x
    x = 3,805,305,043.53/78,873
  6. Step 6: Final answer
    x = 48,245.98

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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.