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Finding the Fourth Proportional to 129,196.66, 193,624.89 and 69,218.20

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Solution

The fourth proportional to 129,196.66, 193,624.89 and 69,218.20 is: 103,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,196.66 : 193,624.89 = 69,218.20 : x
  2. Step 2: Convert to fraction form
    129,196.66/193,624.89 = 69,218.20/x
  3. Step 3: Cross multiply
    129,196.66x = 193,624.89 × 69,218.20
  4. Step 4: Simplify right side
    129,196.66x = 13,402,366,361.00
  5. Step 5: Solve for x
    x = 13,402,366,361.00/129,196.66
  6. Step 6: Final answer
    x = 103,736.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.