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Finding the Fourth Proportional to 100,290.97, 138,402.53 and 54,967.92

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Solution

The fourth proportional to 100,290.97, 138,402.53 and 54,967.92 is: 75,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,290.97 : 138,402.53 = 54,967.92 : x
  2. Step 2: Convert to fraction form
    100,290.97/138,402.53 = 54,967.92/x
  3. Step 3: Cross multiply
    100,290.97x = 138,402.53 × 54,967.92
  4. Step 4: Simplify right side
    100,290.97x = 7,607,699,196.84
  5. Step 5: Solve for x
    x = 7,607,699,196.84/100,290.97
  6. Step 6: Final answer
    x = 75,856.27

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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.