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Finding the Fourth Proportional to 133,308.18, 199,912.05 and 54,380.16

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Solution

The fourth proportional to 133,308.18, 199,912.05 and 54,380.16 is: 81,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,308.18 : 199,912.05 = 54,380.16 : x
  2. Step 2: Convert to fraction form
    133,308.18/199,912.05 = 54,380.16/x
  3. Step 3: Cross multiply
    133,308.18x = 199,912.05 × 54,380.16
  4. Step 4: Simplify right side
    133,308.18x = 10,871,249,264.93
  5. Step 5: Solve for x
    x = 10,871,249,264.93/133,308.18
  6. Step 6: Final answer
    x = 81,549.75

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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.