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Finding the Fourth Proportional to 144,057.44, 198,766.22 and 86,681.36

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Solution

The fourth proportional to 144,057.44, 198,766.22 and 86,681.36 is: 119,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,057.44 : 198,766.22 = 86,681.36 : x
  2. Step 2: Convert to fraction form
    144,057.44/198,766.22 = 86,681.36/x
  3. Step 3: Cross multiply
    144,057.44x = 198,766.22 × 86,681.36
  4. Step 4: Simplify right side
    144,057.44x = 17,229,326,271.66
  5. Step 5: Solve for x
    x = 17,229,326,271.66/144,057.44
  6. Step 6: Final answer
    x = 119,600.39

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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.