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Finding the Fourth Proportional to 201,817, 278,534.19 and 130,404.70

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Solution

The fourth proportional to 201,817, 278,534.19 and 130,404.70 is: 179,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,817 : 278,534.19 = 130,404.70 : x
  2. Step 2: Convert to fraction form
    201,817/278,534.19 = 130,404.70/x
  3. Step 3: Cross multiply
    201,817x = 278,534.19 × 130,404.70
  4. Step 4: Simplify right side
    201,817x = 36,322,167,486.69
  5. Step 5: Solve for x
    x = 36,322,167,486.69/201,817
  6. Step 6: Final answer
    x = 179,975.76

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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.