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Finding the Fourth Proportional to 71,714.32, 98,968.20 and 39,450.32

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Solution

The fourth proportional to 71,714.32, 98,968.20 and 39,450.32 is: 54,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,714.32 : 98,968.20 = 39,450.32 : x
  2. Step 2: Convert to fraction form
    71,714.32/98,968.20 = 39,450.32/x
  3. Step 3: Cross multiply
    71,714.32x = 98,968.20 × 39,450.32
  4. Step 4: Simplify right side
    71,714.32x = 3,904,327,159.82
  5. Step 5: Solve for x
    x = 3,904,327,159.82/71,714.32
  6. Step 6: Final answer
    x = 54,442.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.