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Finding the Fourth Proportional to 133,061.40, 199,361.70 and 86,290.20

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Solution

The fourth proportional to 133,061.40, 199,361.70 and 86,290.20 is: 129,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,061.40 : 199,361.70 = 86,290.20 : x
  2. Step 2: Convert to fraction form
    133,061.40/199,361.70 = 86,290.20/x
  3. Step 3: Cross multiply
    133,061.40x = 199,361.70 × 86,290.20
  4. Step 4: Simplify right side
    133,061.40x = 17,202,960,965.34
  5. Step 5: Solve for x
    x = 17,202,960,965.34/133,061.40
  6. Step 6: Final answer
    x = 129,285.89

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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.