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Finding the Fourth Proportional to 65,543.76, 98,324.64 and 21,155.76

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Solution

The fourth proportional to 65,543.76, 98,324.64 and 21,155.76 is: 31,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,543.76 : 98,324.64 = 21,155.76 : x
  2. Step 2: Convert to fraction form
    65,543.76/98,324.64 = 21,155.76/x
  3. Step 3: Cross multiply
    65,543.76x = 98,324.64 × 21,155.76
  4. Step 4: Simplify right side
    65,543.76x = 2,080,132,485.93
  5. Step 5: Solve for x
    x = 2,080,132,485.93/65,543.76
  6. Step 6: Final answer
    x = 31,736.54

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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.