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Finding the Fourth Proportional to 81,801, 122,730.30 and 40,277.16

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Solution

The fourth proportional to 81,801, 122,730.30 and 40,277.16 is: 60,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,801 : 122,730.30 = 40,277.16 : x
  2. Step 2: Convert to fraction form
    81,801/122,730.30 = 40,277.16/x
  3. Step 3: Cross multiply
    81,801x = 122,730.30 × 40,277.16
  4. Step 4: Simplify right side
    81,801x = 4,943,227,929.95
  5. Step 5: Solve for x
    x = 4,943,227,929.95/81,801
  6. Step 6: Final answer
    x = 60,429.92

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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.