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Finding the Fourth Proportional to 137,874.96, 190,237.93 and 80,488.24

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Solution

The fourth proportional to 137,874.96, 190,237.93 and 80,488.24 is: 111,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,874.96 : 190,237.93 = 80,488.24 : x
  2. Step 2: Convert to fraction form
    137,874.96/190,237.93 = 80,488.24/x
  3. Step 3: Cross multiply
    137,874.96x = 190,237.93 × 80,488.24
  4. Step 4: Simplify right side
    137,874.96x = 15,311,915,490.13
  5. Step 5: Solve for x
    x = 15,311,915,490.13/137,874.96
  6. Step 6: Final answer
    x = 111,056.54

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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.