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Finding the Fourth Proportional to 78,676.67, 118,014.10 and 47,095.56

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Solution

The fourth proportional to 78,676.67, 118,014.10 and 47,095.56 is: 70,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.67 : 118,014.10 = 47,095.56 : x
  2. Step 2: Convert to fraction form
    78,676.67/118,014.10 = 47,095.56/x
  3. Step 3: Cross multiply
    78,676.67x = 118,014.10 × 47,095.56
  4. Step 4: Simplify right side
    78,676.67x = 5,557,940,009.66
  5. Step 5: Solve for x
    x = 5,557,940,009.66/78,676.67
  6. Step 6: Final answer
    x = 70,642.79

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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.