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Finding the Fourth Proportional to 81,638.01, 122,427.77 and 29,037.02

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Solution

The fourth proportional to 81,638.01, 122,427.77 and 29,037.02 is: 43,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,638.01 : 122,427.77 = 29,037.02 : x
  2. Step 2: Convert to fraction form
    81,638.01/122,427.77 = 29,037.02/x
  3. Step 3: Cross multiply
    81,638.01x = 122,427.77 × 29,037.02
  4. Step 4: Simplify right side
    81,638.01x = 3,554,936,848.72
  5. Step 5: Solve for x
    x = 3,554,936,848.72/81,638.01
  6. Step 6: Final answer
    x = 43,545.12

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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.