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Finding the Fourth Proportional to 137,874.80, 190,237.71 and 80,488.08

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Solution

The fourth proportional to 137,874.80, 190,237.71 and 80,488.08 is: 111,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,874.80 : 190,237.71 = 80,488.08 : x
  2. Step 2: Convert to fraction form
    137,874.80/190,237.71 = 80,488.08/x
  3. Step 3: Cross multiply
    137,874.80x = 190,237.71 × 80,488.08
  4. Step 4: Simplify right side
    137,874.80x = 15,311,868,021.50
  5. Step 5: Solve for x
    x = 15,311,868,021.50/137,874.80
  6. Step 6: Final answer
    x = 111,056.32

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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.