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Finding the Fourth Proportional to 68,954.70, 103,417.53 and 31,504.14

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Solution

The fourth proportional to 68,954.70, 103,417.53 and 31,504.14 is: 47,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,954.70 : 103,417.53 = 31,504.14 : x
  2. Step 2: Convert to fraction form
    68,954.70/103,417.53 = 31,504.14/x
  3. Step 3: Cross multiply
    68,954.70x = 103,417.53 × 31,504.14
  4. Step 4: Simplify right side
    68,954.70x = 3,258,080,343.57
  5. Step 5: Solve for x
    x = 3,258,080,343.57/68,954.70
  6. Step 6: Final answer
    x = 47,249.58

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1.5x scale

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.