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Finding the Fourth Proportional to 57,733.40, 86,729.70 and 55,530.20

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Solution

The fourth proportional to 57,733.40, 86,729.70 and 55,530.20 is: 83,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,733.40 : 86,729.70 = 55,530.20 : x
  2. Step 2: Convert to fraction form
    57,733.40/86,729.70 = 55,530.20/x
  3. Step 3: Cross multiply
    57,733.40x = 86,729.70 × 55,530.20
  4. Step 4: Simplify right side
    57,733.40x = 4,816,117,586.94
  5. Step 5: Solve for x
    x = 4,816,117,586.94/57,733.40
  6. Step 6: Final answer
    x = 83,419.95

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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.