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Finding the Fourth Proportional to 65,409.38, 98,128.70 and 23,856.38

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Solution

The fourth proportional to 65,409.38, 98,128.70 and 23,856.38 is: 35,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.38 : 98,128.70 = 23,856.38 : x
  2. Step 2: Convert to fraction form
    65,409.38/98,128.70 = 23,856.38/x
  3. Step 3: Cross multiply
    65,409.38x = 98,128.70 × 23,856.38
  4. Step 4: Simplify right side
    65,409.38x = 2,340,994,946.18
  5. Step 5: Solve for x
    x = 2,340,994,946.18/65,409.38
  6. Step 6: Final answer
    x = 35,789.90

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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.