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Finding the Fourth Proportional to 81,897.92, 122,822.08 and 53,816.64

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Solution

The fourth proportional to 81,897.92, 122,822.08 and 53,816.64 is: 80,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,897.92 : 122,822.08 = 53,816.64 : x
  2. Step 2: Convert to fraction form
    81,897.92/122,822.08 = 53,816.64/x
  3. Step 3: Cross multiply
    81,897.92x = 122,822.08 × 53,816.64
  4. Step 4: Simplify right side
    81,897.92x = 6,609,871,663.41
  5. Step 5: Solve for x
    x = 6,609,871,663.41/81,897.92
  6. Step 6: Final answer
    x = 80,708.66

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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.