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Finding the Fourth Proportional to 65,905.34, 98,714.47 and 34,219.82

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Solution

The fourth proportional to 65,905.34, 98,714.47 and 34,219.82 is: 51,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,905.34 : 98,714.47 = 34,219.82 : x
  2. Step 2: Convert to fraction form
    65,905.34/98,714.47 = 34,219.82/x
  3. Step 3: Cross multiply
    65,905.34x = 98,714.47 × 34,219.82
  4. Step 4: Simplify right side
    65,905.34x = 3,377,990,815.67
  5. Step 5: Solve for x
    x = 3,377,990,815.67/65,905.34
  6. Step 6: Final answer
    x = 51,255.19

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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.