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Finding the Fourth Proportional to 81,958.10, 122,948.10 and 28,643.90

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Solution

The fourth proportional to 81,958.10, 122,948.10 and 28,643.90 is: 42,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,958.10 : 122,948.10 = 28,643.90 : x
  2. Step 2: Convert to fraction form
    81,958.10/122,948.10 = 28,643.90/x
  3. Step 3: Cross multiply
    81,958.10x = 122,948.10 × 28,643.90
  4. Step 4: Simplify right side
    81,958.10x = 3,521,713,081.59
  5. Step 5: Solve for x
    x = 3,521,713,081.59/81,958.10
  6. Step 6: Final answer
    x = 42,969.68

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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.