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Finding the Fourth Proportional to 138,504.36, 191,224.98 and 86,892.22

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Solution

The fourth proportional to 138,504.36, 191,224.98 and 86,892.22 is: 119,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,504.36 : 191,224.98 = 86,892.22 : x
  2. Step 2: Convert to fraction form
    138,504.36/191,224.98 = 86,892.22/x
  3. Step 3: Cross multiply
    138,504.36x = 191,224.98 × 86,892.22
  4. Step 4: Simplify right side
    138,504.36x = 16,615,961,641.07
  5. Step 5: Solve for x
    x = 16,615,961,641.07/138,504.36
  6. Step 6: Final answer
    x = 119,967.07

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1.5x scale

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.