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Finding the Fourth Proportional to 57,729.70, 86,513.55 and 45,903.70

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Solution

The fourth proportional to 57,729.70, 86,513.55 and 45,903.70 is: 68,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,729.70 : 86,513.55 = 45,903.70 : x
  2. Step 2: Convert to fraction form
    57,729.70/86,513.55 = 45,903.70/x
  3. Step 3: Cross multiply
    57,729.70x = 86,513.55 × 45,903.70
  4. Step 4: Simplify right side
    57,729.70x = 3,971,292,045.14
  5. Step 5: Solve for x
    x = 3,971,292,045.14/57,729.70
  6. Step 6: Final answer
    x = 68,791.14

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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.