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Finding the Fourth Proportional to 78,351.78, 108,114.57 and 46,087.86

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Solution

The fourth proportional to 78,351.78, 108,114.57 and 46,087.86 is: 63,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,351.78 : 108,114.57 = 46,087.86 : x
  2. Step 2: Convert to fraction form
    78,351.78/108,114.57 = 46,087.86/x
  3. Step 3: Cross multiply
    78,351.78x = 108,114.57 × 46,087.86
  4. Step 4: Simplify right side
    78,351.78x = 4,982,769,166.12
  5. Step 5: Solve for x
    x = 4,982,769,166.12/78,351.78
  6. Step 6: Final answer
    x = 63,594.84

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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.