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Finding the Fourth Proportional to 140,406.84, 193,891.50 and 90,194.04

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Solution

The fourth proportional to 140,406.84, 193,891.50 and 90,194.04 is: 124,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,406.84 : 193,891.50 = 90,194.04 : x
  2. Step 2: Convert to fraction form
    140,406.84/193,891.50 = 90,194.04/x
  3. Step 3: Cross multiply
    140,406.84x = 193,891.50 × 90,194.04
  4. Step 4: Simplify right side
    140,406.84x = 17,487,857,706.66
  5. Step 5: Solve for x
    x = 17,487,857,706.66/140,406.84
  6. Step 6: Final answer
    x = 124,551.32

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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.