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Finding the Fourth Proportional to 81,963, 122,917.05 and 32,030.10

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Solution

The fourth proportional to 81,963, 122,917.05 and 32,030.10 is: 48,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,963 : 122,917.05 = 32,030.10 : x
  2. Step 2: Convert to fraction form
    81,963/122,917.05 = 32,030.10/x
  3. Step 3: Cross multiply
    81,963x = 122,917.05 × 32,030.10
  4. Step 4: Simplify right side
    81,963x = 3,937,045,403.21
  5. Step 5: Solve for x
    x = 3,937,045,403.21/81,963
  6. Step 6: Final answer
    x = 48,034.42

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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.