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Finding the Fourth Proportional to 70,809.76, 106,231.92 and 21,561.76

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Solution

The fourth proportional to 70,809.76, 106,231.92 and 21,561.76 is: 32,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,809.76 : 106,231.92 = 21,561.76 : x
  2. Step 2: Convert to fraction form
    70,809.76/106,231.92 = 21,561.76/x
  3. Step 3: Cross multiply
    70,809.76x = 106,231.92 × 21,561.76
  4. Step 4: Simplify right side
    70,809.76x = 2,290,547,163.38
  5. Step 5: Solve for x
    x = 2,290,547,163.38/70,809.76
  6. Step 6: Final answer
    x = 32,347.90

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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.