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Finding the Fourth Proportional to 81,810.97, 122,702.78 and 22,652.62

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Solution

The fourth proportional to 81,810.97, 122,702.78 and 22,652.62 is: 33,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,810.97 : 122,702.78 = 22,652.62 : x
  2. Step 2: Convert to fraction form
    81,810.97/122,702.78 = 22,652.62/x
  3. Step 3: Cross multiply
    81,810.97x = 122,702.78 × 22,652.62
  4. Step 4: Simplify right side
    81,810.97x = 2,779,538,721.51
  5. Step 5: Solve for x
    x = 2,779,538,721.51/81,810.97
  6. Step 6: Final answer
    x = 33,975.14

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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.