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Finding the Fourth Proportional to 65,886.64, 98,845.70 and 21,513.48

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Solution

The fourth proportional to 65,886.64, 98,845.70 and 21,513.48 is: 32,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,886.64 : 98,845.70 = 21,513.48 : x
  2. Step 2: Convert to fraction form
    65,886.64/98,845.70 = 21,513.48/x
  3. Step 3: Cross multiply
    65,886.64x = 98,845.70 × 21,513.48
  4. Step 4: Simplify right side
    65,886.64x = 2,126,514,990.04
  5. Step 5: Solve for x
    x = 2,126,514,990.04/65,886.64
  6. Step 6: Final answer
    x = 32,275.36

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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.