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Finding the Fourth Proportional to 65,896.16, 98,821.12 and 28,446.08

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Solution

The fourth proportional to 65,896.16, 98,821.12 and 28,446.08 is: 42,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,896.16 : 98,821.12 = 28,446.08 : x
  2. Step 2: Convert to fraction form
    65,896.16/98,821.12 = 28,446.08/x
  3. Step 3: Cross multiply
    65,896.16x = 98,821.12 × 28,446.08
  4. Step 4: Simplify right side
    65,896.16x = 2,811,073,485.21
  5. Step 5: Solve for x
    x = 2,811,073,485.21/65,896.16
  6. Step 6: Final answer
    x = 42,659.14

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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.