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Finding the Fourth Proportional to 65,607.60, 98,414.44 and 21,237.82

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Solution

The fourth proportional to 65,607.60, 98,414.44 and 21,237.82 is: 31,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,607.60 : 98,414.44 = 21,237.82 : x
  2. Step 2: Convert to fraction form
    65,607.60/98,414.44 = 21,237.82/x
  3. Step 3: Cross multiply
    65,607.60x = 98,414.44 × 21,237.82
  4. Step 4: Simplify right side
    65,607.60x = 2,090,108,162.12
  5. Step 5: Solve for x
    x = 2,090,108,162.12/65,607.60
  6. Step 6: Final answer
    x = 31,857.71

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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.