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Finding the Fourth Proportional to 51,330, 77,025.72 and 22,146

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Solution

The fourth proportional to 51,330, 77,025.72 and 22,146 is: 33,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,330 : 77,025.72 = 22,146 : x
  2. Step 2: Convert to fraction form
    51,330/77,025.72 = 22,146/x
  3. Step 3: Cross multiply
    51,330x = 77,025.72 × 22,146
  4. Step 4: Simplify right side
    51,330x = 1,705,811,595.12
  5. Step 5: Solve for x
    x = 1,705,811,595.12/51,330
  6. Step 6: Final answer
    x = 33,232.25

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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.