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Finding the Fourth Proportional to 137,281.49, 205,922.27 and 90,194.16

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Solution

The fourth proportional to 137,281.49, 205,922.27 and 90,194.16 is: 135,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,281.49 : 205,922.27 = 90,194.16 : x
  2. Step 2: Convert to fraction form
    137,281.49/205,922.27 = 90,194.16/x
  3. Step 3: Cross multiply
    137,281.49x = 205,922.27 × 90,194.16
  4. Step 4: Simplify right side
    137,281.49x = 18,572,986,167.94
  5. Step 5: Solve for x
    x = 18,572,986,167.94/137,281.49
  6. Step 6: Final answer
    x = 135,291.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.