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Finding the Fourth Proportional to 57,731.70, 86,516.55 and 45,905.70

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Solution

The fourth proportional to 57,731.70, 86,516.55 and 45,905.70 is: 68,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,731.70 : 86,516.55 = 45,905.70 : x
  2. Step 2: Convert to fraction form
    57,731.70/86,516.55 = 45,905.70/x
  3. Step 3: Cross multiply
    57,731.70x = 86,516.55 × 45,905.70
  4. Step 4: Simplify right side
    57,731.70x = 3,971,602,789.34
  5. Step 5: Solve for x
    x = 3,971,602,789.34/57,731.70
  6. Step 6: Final answer
    x = 68,794.14

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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.