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Finding the Fourth Proportional to 133,297.60, 199,870.80 and 54,319.36

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Solution

The fourth proportional to 133,297.60, 199,870.80 and 54,319.36 is: 81,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,297.60 : 199,870.80 = 54,319.36 : x
  2. Step 2: Convert to fraction form
    133,297.60/199,870.80 = 54,319.36/x
  3. Step 3: Cross multiply
    133,297.60x = 199,870.80 × 54,319.36
  4. Step 4: Simplify right side
    133,297.60x = 10,856,853,938.69
  5. Step 5: Solve for x
    x = 10,856,853,938.69/133,297.60
  6. Step 6: Final answer
    x = 81,448.23

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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.