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Finding the Fourth Proportional to 201,281.12, 301,921.48 and 51,521.16

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Solution

The fourth proportional to 201,281.12, 301,921.48 and 51,521.16 is: 77,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,281.12 : 301,921.48 = 51,521.16 : x
  2. Step 2: Convert to fraction form
    201,281.12/301,921.48 = 51,521.16/x
  3. Step 3: Cross multiply
    201,281.12x = 301,921.48 × 51,521.16
  4. Step 4: Simplify right side
    201,281.12x = 15,555,344,620.91
  5. Step 5: Solve for x
    x = 15,555,344,620.91/201,281.12
  6. Step 6: Final answer
    x = 77,281.69

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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.