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Finding the Fourth Proportional to 57,501, 86,178.47 and 25,877.21

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Solution

The fourth proportional to 57,501, 86,178.47 and 25,877.21 is: 38,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,501 : 86,178.47 = 25,877.21 : x
  2. Step 2: Convert to fraction form
    57,501/86,178.47 = 25,877.21/x
  3. Step 3: Cross multiply
    57,501x = 86,178.47 × 25,877.21
  4. Step 4: Simplify right side
    57,501x = 2,230,057,805.39
  5. Step 5: Solve for x
    x = 2,230,057,805.39/57,501
  6. Step 6: Final answer
    x = 38,782.94

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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.