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Finding the Fourth Proportional to 137,876.84, 190,240.50 and 80,490.11

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Solution

The fourth proportional to 137,876.84, 190,240.50 and 80,490.11 is: 111,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,876.84 : 190,240.50 = 80,490.11 : x
  2. Step 2: Convert to fraction form
    137,876.84/190,240.50 = 80,490.11/x
  3. Step 3: Cross multiply
    137,876.84x = 190,240.50 × 80,490.11
  4. Step 4: Simplify right side
    137,876.84x = 15,312,477,820.25
  5. Step 5: Solve for x
    x = 15,312,477,820.25/137,876.84
  6. Step 6: Final answer
    x = 111,059.10

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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.