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Finding the Fourth Proportional to 201,279.72, 301,929.84 and 51,521.28

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Solution

The fourth proportional to 201,279.72, 301,929.84 and 51,521.28 is: 77,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,279.72 : 301,929.84 = 51,521.28 : x
  2. Step 2: Convert to fraction form
    201,279.72/301,929.84 = 51,521.28/x
  3. Step 3: Cross multiply
    201,279.72x = 301,929.84 × 51,521.28
  4. Step 4: Simplify right side
    201,279.72x = 15,555,811,827.00
  5. Step 5: Solve for x
    x = 15,555,811,827.00/201,279.72
  6. Step 6: Final answer
    x = 77,284.55

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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.