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Finding the Fourth Proportional to 100,164.51, 138,227.02 and 54,842.49

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Solution

The fourth proportional to 100,164.51, 138,227.02 and 54,842.49 is: 75,682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,164.51 : 138,227.02 = 54,842.49 : x
  2. Step 2: Convert to fraction form
    100,164.51/138,227.02 = 54,842.49/x
  3. Step 3: Cross multiply
    100,164.51x = 138,227.02 × 54,842.49
  4. Step 4: Simplify right side
    100,164.51x = 7,580,713,962.08
  5. Step 5: Solve for x
    x = 7,580,713,962.08/100,164.51
  6. Step 6: Final answer
    x = 75,682.63

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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.