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Finding the Fourth Proportional to 201,281.24, 301,921.66 and 51,521.29

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Solution

The fourth proportional to 201,281.24, 301,921.66 and 51,521.29 is: 77,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,281.24 : 301,921.66 = 51,521.29 : x
  2. Step 2: Convert to fraction form
    201,281.24/301,921.66 = 51,521.29/x
  3. Step 3: Cross multiply
    201,281.24x = 301,921.66 × 51,521.29
  4. Step 4: Simplify right side
    201,281.24x = 15,555,391,892.53
  5. Step 5: Solve for x
    x = 15,555,391,892.53/201,281.24
  6. Step 6: Final answer
    x = 77,281.88

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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.