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Finding the Fourth Proportional to 65,904.64, 98,844 and 21,532.96

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Solution

The fourth proportional to 65,904.64, 98,844 and 21,532.96 is: 32,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,904.64 : 98,844 = 21,532.96 : x
  2. Step 2: Convert to fraction form
    65,904.64/98,844 = 21,532.96/x
  3. Step 3: Cross multiply
    65,904.64x = 98,844 × 21,532.96
  4. Step 4: Simplify right side
    65,904.64x = 2,128,403,898.24
  5. Step 5: Solve for x
    x = 2,128,403,898.24/65,904.64
  6. Step 6: Final answer
    x = 32,295.21

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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.