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Finding the Fourth Proportional to 81,630, 122,397.41 and 31,651.72

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Solution

The fourth proportional to 81,630, 122,397.41 and 31,651.72 is: 47,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,630 : 122,397.41 = 31,651.72 : x
  2. Step 2: Convert to fraction form
    81,630/122,397.41 = 31,651.72/x
  3. Step 3: Cross multiply
    81,630x = 122,397.41 × 31,651.72
  4. Step 4: Simplify right side
    81,630x = 3,874,088,323.18
  5. Step 5: Solve for x
    x = 3,874,088,323.18/81,630
  6. Step 6: Final answer
    x = 47,459.12

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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.