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Finding the Fourth Proportional to 65,964.60, 98,917.74 and 19,221.12

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Solution

The fourth proportional to 65,964.60, 98,917.74 and 19,221.12 is: 28,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,964.60 : 98,917.74 = 19,221.12 : x
  2. Step 2: Convert to fraction form
    65,964.60/98,917.74 = 19,221.12/x
  3. Step 3: Cross multiply
    65,964.60x = 98,917.74 × 19,221.12
  4. Step 4: Simplify right side
    65,964.60x = 1,901,309,750.67
  5. Step 5: Solve for x
    x = 1,901,309,750.67/65,964.60
  6. Step 6: Final answer
    x = 28,823.18

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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.