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Finding the Fourth Proportional to 207,603.57, 311,503.77 and 123,529.82

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Solution

The fourth proportional to 207,603.57, 311,503.77 and 123,529.82 is: 185,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,603.57 : 311,503.77 = 123,529.82 : x
  2. Step 2: Convert to fraction form
    207,603.57/311,503.77 = 123,529.82/x
  3. Step 3: Cross multiply
    207,603.57x = 311,503.77 × 123,529.82
  4. Step 4: Simplify right side
    207,603.57x = 38,480,004,637.42
  5. Step 5: Solve for x
    x = 38,480,004,637.42/207,603.57
  6. Step 6: Final answer
    x = 185,353.29

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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.