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Finding the Fourth Proportional to 81,876.34, 122,814.49 and 22,712.01

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Solution

The fourth proportional to 81,876.34, 122,814.49 and 22,712.01 is: 34,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,876.34 : 122,814.49 = 22,712.01 : x
  2. Step 2: Convert to fraction form
    81,876.34/122,814.49 = 22,712.01/x
  3. Step 3: Cross multiply
    81,876.34x = 122,814.49 × 22,712.01
  4. Step 4: Simplify right side
    81,876.34x = 2,789,363,925.02
  5. Step 5: Solve for x
    x = 2,789,363,925.02/81,876.34
  6. Step 6: Final answer
    x = 34,068.01

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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.