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Finding the Fourth Proportional to 218,209.60, 301,269.90 and 140,719.90

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Solution

The fourth proportional to 218,209.60, 301,269.90 and 140,719.90 is: 194,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,209.60 : 301,269.90 = 140,719.90 : x
  2. Step 2: Convert to fraction form
    218,209.60/301,269.90 = 140,719.90/x
  3. Step 3: Cross multiply
    218,209.60x = 301,269.90 × 140,719.90
  4. Step 4: Simplify right side
    218,209.60x = 42,394,670,201.01
  5. Step 5: Solve for x
    x = 42,394,670,201.01/218,209.60
  6. Step 6: Final answer
    x = 194,284.17

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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.