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Finding the Fourth Proportional to 99,860.22, 137,749.95 and 71,186.22

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Solution

The fourth proportional to 99,860.22, 137,749.95 and 71,186.22 is: 98,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,860.22 : 137,749.95 = 71,186.22 : x
  2. Step 2: Convert to fraction form
    99,860.22/137,749.95 = 71,186.22/x
  3. Step 3: Cross multiply
    99,860.22x = 137,749.95 × 71,186.22
  4. Step 4: Simplify right side
    99,860.22x = 9,805,898,245.69
  5. Step 5: Solve for x
    x = 9,805,898,245.69/99,860.22
  6. Step 6: Final answer
    x = 98,196.24

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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.