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Finding the Fourth Proportional to 203,422.71, 280,739.97 and 112,807.11

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Solution

The fourth proportional to 203,422.71, 280,739.97 and 112,807.11 is: 155,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,422.71 : 280,739.97 = 112,807.11 : x
  2. Step 2: Convert to fraction form
    203,422.71/280,739.97 = 112,807.11/x
  3. Step 3: Cross multiply
    203,422.71x = 280,739.97 × 112,807.11
  4. Step 4: Simplify right side
    203,422.71x = 31,669,464,677.19
  5. Step 5: Solve for x
    x = 31,669,464,677.19/203,422.71
  6. Step 6: Final answer
    x = 155,683.03

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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.