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Finding the Fourth Proportional to 81,051.69, 121,583.69 and 21,886.53

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Solution

The fourth proportional to 81,051.69, 121,583.69 and 21,886.53 is: 32,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,051.69 : 121,583.69 = 21,886.53 : x
  2. Step 2: Convert to fraction form
    81,051.69/121,583.69 = 21,886.53/x
  3. Step 3: Cross multiply
    81,051.69x = 121,583.69 × 21,886.53
  4. Step 4: Simplify right side
    81,051.69x = 2,661,045,078.70
  5. Step 5: Solve for x
    x = 2,661,045,078.70/81,051.69
  6. Step 6: Final answer
    x = 32,831.46

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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.