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Finding the Fourth Proportional to 57,787.78, 86,681.70 and 20,851.78

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Solution

The fourth proportional to 57,787.78, 86,681.70 and 20,851.78 is: 31,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,787.78 : 86,681.70 = 20,851.78 : x
  2. Step 2: Convert to fraction form
    57,787.78/86,681.70 = 20,851.78/x
  3. Step 3: Cross multiply
    57,787.78x = 86,681.70 × 20,851.78
  4. Step 4: Simplify right side
    57,787.78x = 1,807,467,738.43
  5. Step 5: Solve for x
    x = 1,807,467,738.43/57,787.78
  6. Step 6: Final answer
    x = 31,277.68

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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.