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Finding the Fourth Proportional to 81,877.40, 122,744.10 and 55,496.60

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Solution

The fourth proportional to 81,877.40, 122,744.10 and 55,496.60 is: 83,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877.40 : 122,744.10 = 55,496.60 : x
  2. Step 2: Convert to fraction form
    81,877.40/122,744.10 = 55,496.60/x
  3. Step 3: Cross multiply
    81,877.40x = 122,744.10 × 55,496.60
  4. Step 4: Simplify right side
    81,877.40x = 6,811,880,220.06
  5. Step 5: Solve for x
    x = 6,811,880,220.06/81,877.40
  6. Step 6: Final answer
    x = 83,196.10

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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.