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Finding the Fourth Proportional to 78,773.85, 118,168.14 and 31,377.51

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Solution

The fourth proportional to 78,773.85, 118,168.14 and 31,377.51 is: 47,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,773.85 : 118,168.14 = 31,377.51 : x
  2. Step 2: Convert to fraction form
    78,773.85/118,168.14 = 31,377.51/x
  3. Step 3: Cross multiply
    78,773.85x = 118,168.14 × 31,377.51
  4. Step 4: Simplify right side
    78,773.85x = 3,707,821,994.53
  5. Step 5: Solve for x
    x = 3,707,821,994.53/78,773.85
  6. Step 6: Final answer
    x = 47,069.20

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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.