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Finding the Fourth Proportional to 81,213.76, 121,857.02 and 51,623.92

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Solution

The fourth proportional to 81,213.76, 121,857.02 and 51,623.92 is: 77,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,213.76 : 121,857.02 = 51,623.92 : x
  2. Step 2: Convert to fraction form
    81,213.76/121,857.02 = 51,623.92/x
  3. Step 3: Cross multiply
    81,213.76x = 121,857.02 × 51,623.92
  4. Step 4: Simplify right side
    81,213.76x = 6,290,737,051.92
  5. Step 5: Solve for x
    x = 6,290,737,051.92/81,213.76
  6. Step 6: Final answer
    x = 77,459.01

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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.