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Finding the Fourth Proportional to 218,208.66, 301,065.84 and 130,958.31

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Solution

The fourth proportional to 218,208.66, 301,065.84 and 130,958.31 is: 180,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,208.66 : 301,065.84 = 130,958.31 : x
  2. Step 2: Convert to fraction form
    218,208.66/301,065.84 = 130,958.31/x
  3. Step 3: Cross multiply
    218,208.66x = 301,065.84 × 130,958.31
  4. Step 4: Simplify right side
    218,208.66x = 39,427,073,605.13
  5. Step 5: Solve for x
    x = 39,427,073,605.13/218,208.66
  6. Step 6: Final answer
    x = 180,685.19

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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.