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Finding the Fourth Proportional to 144,266.31, 199,081.11 and 80,602.74

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Solution

The fourth proportional to 144,266.31, 199,081.11 and 80,602.74 is: 111,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,266.31 : 199,081.11 = 80,602.74 : x
  2. Step 2: Convert to fraction form
    144,266.31/199,081.11 = 80,602.74/x
  3. Step 3: Cross multiply
    144,266.31x = 199,081.11 × 80,602.74
  4. Step 4: Simplify right side
    144,266.31x = 16,046,482,948.24
  5. Step 5: Solve for x
    x = 16,046,482,948.24/144,266.31
  6. Step 6: Final answer
    x = 111,228.21

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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.