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Finding the Fourth Proportional to 201,606.30, 278,221.50 and 110,967.30

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Solution

The fourth proportional to 201,606.30, 278,221.50 and 110,967.30 is: 153,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,606.30 : 278,221.50 = 110,967.30 : x
  2. Step 2: Convert to fraction form
    201,606.30/278,221.50 = 110,967.30/x
  3. Step 3: Cross multiply
    201,606.30x = 278,221.50 × 110,967.30
  4. Step 4: Simplify right side
    201,606.30x = 30,873,488,656.95
  5. Step 5: Solve for x
    x = 30,873,488,656.95/201,606.30
  6. Step 6: Final answer
    x = 153,137.52

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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.