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Finding the Fourth Proportional to 65,506.86, 98,279.44 and 21,132.64

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Solution

The fourth proportional to 65,506.86, 98,279.44 and 21,132.64 is: 31,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506.86 : 98,279.44 = 21,132.64 : x
  2. Step 2: Convert to fraction form
    65,506.86/98,279.44 = 21,132.64/x
  3. Step 3: Cross multiply
    65,506.86x = 98,279.44 × 21,132.64
  4. Step 4: Simplify right side
    65,506.86x = 2,076,904,024.92
  5. Step 5: Solve for x
    x = 2,076,904,024.92/65,506.86
  6. Step 6: Final answer
    x = 31,705.14

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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.