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Finding the Fourth Proportional to 84,144.42, 126,253.69 and 65,396.36

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Solution

The fourth proportional to 84,144.42, 126,253.69 and 65,396.36 is: 98,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,144.42 : 126,253.69 = 65,396.36 : x
  2. Step 2: Convert to fraction form
    84,144.42/126,253.69 = 65,396.36/x
  3. Step 3: Cross multiply
    84,144.42x = 126,253.69 × 65,396.36
  4. Step 4: Simplify right side
    84,144.42x = 8,256,531,914.71
  5. Step 5: Solve for x
    x = 8,256,531,914.71/84,144.42
  6. Step 6: Final answer
    x = 98,123.34

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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.