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Finding the Fourth Proportional to 65,409.78, 98,129.25 and 23,856.78

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Solution

The fourth proportional to 65,409.78, 98,129.25 and 23,856.78 is: 35,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.78 : 98,129.25 = 23,856.78 : x
  2. Step 2: Convert to fraction form
    65,409.78/98,129.25 = 23,856.78/x
  3. Step 3: Cross multiply
    65,409.78x = 98,129.25 × 23,856.78
  4. Step 4: Simplify right side
    65,409.78x = 2,341,047,928.82
  5. Step 5: Solve for x
    x = 2,341,047,928.82/65,409.78
  6. Step 6: Final answer
    x = 35,790.49

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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.