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Finding the Fourth Proportional to 78,712.12, 118,009.86 and 47,540.08

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Solution

The fourth proportional to 78,712.12, 118,009.86 and 47,540.08 is: 71,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,712.12 : 118,009.86 = 47,540.08 : x
  2. Step 2: Convert to fraction form
    78,712.12/118,009.86 = 47,540.08/x
  3. Step 3: Cross multiply
    78,712.12x = 118,009.86 × 47,540.08
  4. Step 4: Simplify right side
    78,712.12x = 5,610,198,185.19
  5. Step 5: Solve for x
    x = 5,610,198,185.19/78,712.12
  6. Step 6: Final answer
    x = 71,274.90

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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.