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Finding the Fourth Proportional to 73,137.16, 109,684 and 31,016.62

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Solution

The fourth proportional to 73,137.16, 109,684 and 31,016.62 is: 46,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,137.16 : 109,684 = 31,016.62 : x
  2. Step 2: Convert to fraction form
    73,137.16/109,684 = 31,016.62/x
  3. Step 3: Cross multiply
    73,137.16x = 109,684 × 31,016.62
  4. Step 4: Simplify right side
    73,137.16x = 3,402,026,948.08
  5. Step 5: Solve for x
    x = 3,402,026,948.08/73,137.16
  6. Step 6: Final answer
    x = 46,515.71

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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.