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Finding the Fourth Proportional to 81,564.52, 122,354.08 and 31,643.42

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Solution

The fourth proportional to 81,564.52, 122,354.08 and 31,643.42 is: 47,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,564.52 : 122,354.08 = 31,643.42 : x
  2. Step 2: Convert to fraction form
    81,564.52/122,354.08 = 31,643.42/x
  3. Step 3: Cross multiply
    81,564.52x = 122,354.08 × 31,643.42
  4. Step 4: Simplify right side
    81,564.52x = 3,871,701,542.15
  5. Step 5: Solve for x
    x = 3,871,701,542.15/81,564.52
  6. Step 6: Final answer
    x = 47,467.96

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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.