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Finding the Fourth Proportional to 136,990.34, 205,504.84 and 42,228.22

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Solution

The fourth proportional to 136,990.34, 205,504.84 and 42,228.22 is: 63,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,990.34 : 205,504.84 = 42,228.22 : x
  2. Step 2: Convert to fraction form
    136,990.34/205,504.84 = 42,228.22/x
  3. Step 3: Cross multiply
    136,990.34x = 205,504.84 × 42,228.22
  4. Step 4: Simplify right side
    136,990.34x = 8,678,103,594.58
  5. Step 5: Solve for x
    x = 8,678,103,594.58/136,990.34
  6. Step 6: Final answer
    x = 63,348.29

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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.