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Finding the Fourth Proportional to 100,203.90, 138,282.94 and 54,881.06

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Solution

The fourth proportional to 100,203.90, 138,282.94 and 54,881.06 is: 75,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203.90 : 138,282.94 = 54,881.06 : x
  2. Step 2: Convert to fraction form
    100,203.90/138,282.94 = 54,881.06/x
  3. Step 3: Cross multiply
    100,203.90x = 138,282.94 × 54,881.06
  4. Step 4: Simplify right side
    100,203.90x = 7,589,114,327.12
  5. Step 5: Solve for x
    x = 7,589,114,327.12/100,203.90
  6. Step 6: Final answer
    x = 75,736.72

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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.