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Finding the Fourth Proportional to 65,878.50, 98,818 and 15,958.50

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Solution

The fourth proportional to 65,878.50, 98,818 and 15,958.50 is: 23,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878.50 : 98,818 = 15,958.50 : x
  2. Step 2: Convert to fraction form
    65,878.50/98,818 = 15,958.50/x
  3. Step 3: Cross multiply
    65,878.50x = 98,818 × 15,958.50
  4. Step 4: Simplify right side
    65,878.50x = 1,576,987,053
  5. Step 5: Solve for x
    x = 1,576,987,053/65,878.50
  6. Step 6: Final answer
    x = 23,937.81

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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.