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Finding the Fourth Proportional to 207,208.92, 310,907.70 and 100,535.30

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Solution

The fourth proportional to 207,208.92, 310,907.70 and 100,535.30 is: 150,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,208.92 : 310,907.70 = 100,535.30 : x
  2. Step 2: Convert to fraction form
    207,208.92/310,907.70 = 100,535.30/x
  3. Step 3: Cross multiply
    207,208.92x = 310,907.70 × 100,535.30
  4. Step 4: Simplify right side
    207,208.92x = 31,257,197,337.27
  5. Step 5: Solve for x
    x = 31,257,197,337.27/207,208.92
  6. Step 6: Final answer
    x = 150,848.71

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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.