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Finding the Fourth Proportional to 65,503.87, 98,274.94 and 21,129.64

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Solution

The fourth proportional to 65,503.87, 98,274.94 and 21,129.64 is: 31,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,503.87 : 98,274.94 = 21,129.64 : x
  2. Step 2: Convert to fraction form
    65,503.87/98,274.94 = 21,129.64/x
  3. Step 3: Cross multiply
    65,503.87x = 98,274.94 × 21,129.64
  4. Step 4: Simplify right side
    65,503.87x = 2,076,514,103.22
  5. Step 5: Solve for x
    x = 2,076,514,103.22/65,503.87
  6. Step 6: Final answer
    x = 31,700.63

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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.