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Finding the Fourth Proportional to 207,937.70, 312,016.44 and 147,538.31

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Solution

The fourth proportional to 207,937.70, 312,016.44 and 147,538.31 is: 221,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,937.70 : 312,016.44 = 147,538.31 : x
  2. Step 2: Convert to fraction form
    207,937.70/312,016.44 = 147,538.31/x
  3. Step 3: Cross multiply
    207,937.70x = 312,016.44 × 147,538.31
  4. Step 4: Simplify right side
    207,937.70x = 46,034,378,249.82
  5. Step 5: Solve for x
    x = 46,034,378,249.82/207,937.70
  6. Step 6: Final answer
    x = 221,385.44

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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.