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Finding the Fourth Proportional to 78,937.25, 117,390.82 and 76,445.42

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Solution

The fourth proportional to 78,937.25, 117,390.82 and 76,445.42 is: 113,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,937.25 : 117,390.82 = 76,445.42 : x
  2. Step 2: Convert to fraction form
    78,937.25/117,390.82 = 76,445.42/x
  3. Step 3: Cross multiply
    78,937.25x = 117,390.82 × 76,445.42
  4. Step 4: Simplify right side
    78,937.25x = 8,973,990,539.04
  5. Step 5: Solve for x
    x = 8,973,990,539.04/78,937.25
  6. Step 6: Final answer
    x = 113,685.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.