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Finding the Fourth Proportional to 57,771, 86,656.50 and 20,835

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Solution

The fourth proportional to 57,771, 86,656.50 and 20,835 is: 31,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,771 : 86,656.50 = 20,835 : x
  2. Step 2: Convert to fraction form
    57,771/86,656.50 = 20,835/x
  3. Step 3: Cross multiply
    57,771x = 86,656.50 × 20,835
  4. Step 4: Simplify right side
    57,771x = 1,805,488,177.50
  5. Step 5: Solve for x
    x = 1,805,488,177.50/57,771
  6. Step 6: Final answer
    x = 31,252.50

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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.