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Finding the Fourth Proportional to 71,606.40, 98,814 and 39,773.76

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Solution

The fourth proportional to 71,606.40, 98,814 and 39,773.76 is: 54,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,606.40 : 98,814 = 39,773.76 : x
  2. Step 2: Convert to fraction form
    71,606.40/98,814 = 39,773.76/x
  3. Step 3: Cross multiply
    71,606.40x = 98,814 × 39,773.76
  4. Step 4: Simplify right side
    71,606.40x = 3,930,204,320.64
  5. Step 5: Solve for x
    x = 3,930,204,320.64/71,606.40
  6. Step 6: Final answer
    x = 54,886.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.