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Finding the Fourth Proportional to 65,648.08, 98,451.46 and 21,264.54

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Solution

The fourth proportional to 65,648.08, 98,451.46 and 21,264.54 is: 31,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,648.08 : 98,451.46 = 21,264.54 : x
  2. Step 2: Convert to fraction form
    65,648.08/98,451.46 = 21,264.54/x
  3. Step 3: Cross multiply
    65,648.08x = 98,451.46 × 21,264.54
  4. Step 4: Simplify right side
    65,648.08x = 2,093,525,009.23
  5. Step 5: Solve for x
    x = 2,093,525,009.23/65,648.08
  6. Step 6: Final answer
    x = 31,890.12

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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.