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Finding the Fourth Proportional to 81,568.90, 122,397.93 and 31,650.96

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Solution

The fourth proportional to 81,568.90, 122,397.93 and 31,650.96 is: 47,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,568.90 : 122,397.93 = 31,650.96 : x
  2. Step 2: Convert to fraction form
    81,568.90/122,397.93 = 31,650.96/x
  3. Step 3: Cross multiply
    81,568.90x = 122,397.93 × 31,650.96
  4. Step 4: Simplify right side
    81,568.90x = 3,874,011,986.51
  5. Step 5: Solve for x
    x = 3,874,011,986.51/81,568.90
  6. Step 6: Final answer
    x = 47,493.74

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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.