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Finding the Fourth Proportional to 78,874, 118,311.81 and 23,470

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Solution

The fourth proportional to 78,874, 118,311.81 and 23,470 is: 35,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,874 : 118,311.81 = 23,470 : x
  2. Step 2: Convert to fraction form
    78,874/118,311.81 = 23,470/x
  3. Step 3: Cross multiply
    78,874x = 118,311.81 × 23,470
  4. Step 4: Simplify right side
    78,874x = 2,776,778,180.70
  5. Step 5: Solve for x
    x = 2,776,778,180.70/78,874
  6. Step 6: Final answer
    x = 35,205.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.