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Finding the Fourth Proportional to 99,506.80, 137,214.15 and 76,849.48

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Solution

The fourth proportional to 99,506.80, 137,214.15 and 76,849.48 is: 105,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,506.80 : 137,214.15 = 76,849.48 : x
  2. Step 2: Convert to fraction form
    99,506.80/137,214.15 = 76,849.48/x
  3. Step 3: Cross multiply
    99,506.80x = 137,214.15 × 76,849.48
  4. Step 4: Simplify right side
    99,506.80x = 10,544,836,076.14
  5. Step 5: Solve for x
    x = 10,544,836,076.14/99,506.80
  6. Step 6: Final answer
    x = 105,971.01

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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.