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Finding the Fourth Proportional to 78,770.85, 118,163.64 and 31,374.51

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Solution

The fourth proportional to 78,770.85, 118,163.64 and 31,374.51 is: 47,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,770.85 : 118,163.64 = 31,374.51 : x
  2. Step 2: Convert to fraction form
    78,770.85/118,163.64 = 31,374.51/x
  3. Step 3: Cross multiply
    78,770.85x = 118,163.64 × 31,374.51
  4. Step 4: Simplify right side
    78,770.85x = 3,707,326,304.82
  5. Step 5: Solve for x
    x = 3,707,326,304.82/78,770.85
  6. Step 6: Final answer
    x = 47,064.70

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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.