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Finding the Fourth Proportional to 71,714.36, 98,958.24 and 39,878.12

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Solution

The fourth proportional to 71,714.36, 98,958.24 and 39,878.12 is: 55,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,714.36 : 98,958.24 = 39,878.12 : x
  2. Step 2: Convert to fraction form
    71,714.36/98,958.24 = 39,878.12/x
  3. Step 3: Cross multiply
    71,714.36x = 98,958.24 × 39,878.12
  4. Step 4: Simplify right side
    71,714.36x = 3,946,268,569.71
  5. Step 5: Solve for x
    x = 3,946,268,569.71/71,714.36
  6. Step 6: Final answer
    x = 55,027.59

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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.