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Finding the Fourth Proportional to 65,428.74, 98,149.08 and 21,044.52

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Solution

The fourth proportional to 65,428.74, 98,149.08 and 21,044.52 is: 31,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,428.74 : 98,149.08 = 21,044.52 : x
  2. Step 2: Convert to fraction form
    65,428.74/98,149.08 = 21,044.52/x
  3. Step 3: Cross multiply
    65,428.74x = 98,149.08 × 21,044.52
  4. Step 4: Simplify right side
    65,428.74x = 2,065,500,277.04
  5. Step 5: Solve for x
    x = 2,065,500,277.04/65,428.74
  6. Step 6: Final answer
    x = 31,568.70

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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.