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Finding the Fourth Proportional to 218,281.98, 301,202.19 and 137,679.06

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Solution

The fourth proportional to 218,281.98, 301,202.19 and 137,679.06 is: 189,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,281.98 : 301,202.19 = 137,679.06 : x
  2. Step 2: Convert to fraction form
    218,281.98/301,202.19 = 137,679.06/x
  3. Step 3: Cross multiply
    218,281.98x = 301,202.19 × 137,679.06
  4. Step 4: Simplify right side
    218,281.98x = 41,469,234,389.14
  5. Step 5: Solve for x
    x = 41,469,234,389.14/218,281.98
  6. Step 6: Final answer
    x = 189,980.11

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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.