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Finding the Fourth Proportional to 65,881.50, 98,822.50 and 15,961.50

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Solution

The fourth proportional to 65,881.50, 98,822.50 and 15,961.50 is: 23,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,881.50 : 98,822.50 = 15,961.50 : x
  2. Step 2: Convert to fraction form
    65,881.50/98,822.50 = 15,961.50/x
  3. Step 3: Cross multiply
    65,881.50x = 98,822.50 × 15,961.50
  4. Step 4: Simplify right side
    65,881.50x = 1,577,355,333.75
  5. Step 5: Solve for x
    x = 1,577,355,333.75/65,881.50
  6. Step 6: Final answer
    x = 23,942.31

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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.