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Finding the Fourth Proportional to 140,077.80, 209,970.90 and 76,800.60

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Solution

The fourth proportional to 140,077.80, 209,970.90 and 76,800.60 is: 115,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,077.80 : 209,970.90 = 76,800.60 : x
  2. Step 2: Convert to fraction form
    140,077.80/209,970.90 = 76,800.60/x
  3. Step 3: Cross multiply
    140,077.80x = 209,970.90 × 76,800.60
  4. Step 4: Simplify right side
    140,077.80x = 16,125,891,102.54
  5. Step 5: Solve for x
    x = 16,125,891,102.54/140,077.80
  6. Step 6: Final answer
    x = 115,120.96

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1.5x scale

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.