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Finding the Fourth Proportional to 65,897.87, 98,845.92 and 15,978.42

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Solution

The fourth proportional to 65,897.87, 98,845.92 and 15,978.42 is: 23,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.87 : 98,845.92 = 15,978.42 : x
  2. Step 2: Convert to fraction form
    65,897.87/98,845.92 = 15,978.42/x
  3. Step 3: Cross multiply
    65,897.87x = 98,845.92 × 15,978.42
  4. Step 4: Simplify right side
    65,897.87x = 1,579,401,625.05
  5. Step 5: Solve for x
    x = 1,579,401,625.05/65,897.87
  6. Step 6: Final answer
    x = 23,967.42

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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.