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Finding the Fourth Proportional to 201,089.93, 301,634.62 and 51,330.20

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Solution

The fourth proportional to 201,089.93, 301,634.62 and 51,330.20 is: 76,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,089.93 : 301,634.62 = 51,330.20 : x
  2. Step 2: Convert to fraction form
    201,089.93/301,634.62 = 51,330.20/x
  3. Step 3: Cross multiply
    201,089.93x = 301,634.62 × 51,330.20
  4. Step 4: Simplify right side
    201,089.93x = 15,482,965,371.52
  5. Step 5: Solve for x
    x = 15,482,965,371.52/201,089.93
  6. Step 6: Final answer
    x = 76,995.23

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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.