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Finding the Fourth Proportional to 199,989.76, 275,988.82 and 135,478.73

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Solution

The fourth proportional to 199,989.76, 275,988.82 and 135,478.73 is: 186,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,989.76 : 275,988.82 = 135,478.73 : x
  2. Step 2: Convert to fraction form
    199,989.76/275,988.82 = 135,478.73/x
  3. Step 3: Cross multiply
    199,989.76x = 275,988.82 × 135,478.73
  4. Step 4: Simplify right side
    199,989.76x = 37,390,614,827.80
  5. Step 5: Solve for x
    x = 37,390,614,827.80/199,989.76
  6. Step 6: Final answer
    x = 186,962.65

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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.