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Finding the Fourth Proportional to 110,428.89, 152,209.90 and 78,121.77

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Solution

The fourth proportional to 110,428.89, 152,209.90 and 78,121.77 is: 107,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,428.89 : 152,209.90 = 78,121.77 : x
  2. Step 2: Convert to fraction form
    110,428.89/152,209.90 = 78,121.77/x
  3. Step 3: Cross multiply
    110,428.89x = 152,209.90 × 78,121.77
  4. Step 4: Simplify right side
    110,428.89x = 11,890,906,799.52
  5. Step 5: Solve for x
    x = 11,890,906,799.52/110,428.89
  6. Step 6: Final answer
    x = 107,679.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.