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Finding the Fourth Proportional to 68,698.40, 103,046.78 and 38,714.90

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Solution

The fourth proportional to 68,698.40, 103,046.78 and 38,714.90 is: 58,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,698.40 : 103,046.78 = 38,714.90 : x
  2. Step 2: Convert to fraction form
    68,698.40/103,046.78 = 38,714.90/x
  3. Step 3: Cross multiply
    68,698.40x = 103,046.78 × 38,714.90
  4. Step 4: Simplify right side
    68,698.40x = 3,989,445,364.58
  5. Step 5: Solve for x
    x = 3,989,445,364.58/68,698.40
  6. Step 6: Final answer
    x = 58,071.89

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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.