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Finding the Fourth Proportional to 202,012.60, 278,764.84 and 111,363.88

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Solution

The fourth proportional to 202,012.60, 278,764.84 and 111,363.88 is: 153,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,012.60 : 278,764.84 = 111,363.88 : x
  2. Step 2: Convert to fraction form
    202,012.60/278,764.84 = 111,363.88/x
  3. Step 3: Cross multiply
    202,012.60x = 278,764.84 × 111,363.88
  4. Step 4: Simplify right side
    202,012.60x = 31,044,334,189.98
  5. Step 5: Solve for x
    x = 31,044,334,189.98/202,012.60
  6. Step 6: Final answer
    x = 153,675.24

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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.