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Finding the Fourth Proportional to 65,471.76, 98,216.64 and 21,083.76

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Solution

The fourth proportional to 65,471.76, 98,216.64 and 21,083.76 is: 31,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,471.76 : 98,216.64 = 21,083.76 : x
  2. Step 2: Convert to fraction form
    65,471.76/98,216.64 = 21,083.76/x
  3. Step 3: Cross multiply
    65,471.76x = 98,216.64 × 21,083.76
  4. Step 4: Simplify right side
    65,471.76x = 2,070,776,065.77
  5. Step 5: Solve for x
    x = 2,070,776,065.77/65,471.76
  6. Step 6: Final answer
    x = 31,628.54

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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.