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Finding the Fourth Proportional to 207,165.94, 310,525.66 and 100,323.70

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Solution

The fourth proportional to 207,165.94, 310,525.66 and 100,323.70 is: 150,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,165.94 : 310,525.66 = 100,323.70 : x
  2. Step 2: Convert to fraction form
    207,165.94/310,525.66 = 100,323.70/x
  3. Step 3: Cross multiply
    207,165.94x = 310,525.66 × 100,323.70
  4. Step 4: Simplify right side
    207,165.94x = 31,153,083,156.14
  5. Step 5: Solve for x
    x = 31,153,083,156.14/207,165.94
  6. Step 6: Final answer
    x = 150,377.44

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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.