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Finding the Fourth Proportional to 138,505.36, 191,226.36 and 86,893.22

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Solution

The fourth proportional to 138,505.36, 191,226.36 and 86,893.22 is: 119,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,505.36 : 191,226.36 = 86,893.22 : x
  2. Step 2: Convert to fraction form
    138,505.36/191,226.36 = 86,893.22/x
  3. Step 3: Cross multiply
    138,505.36x = 191,226.36 × 86,893.22
  4. Step 4: Simplify right side
    138,505.36x = 16,616,272,778.68
  5. Step 5: Solve for x
    x = 16,616,272,778.68/138,505.36
  6. Step 6: Final answer
    x = 119,968.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.