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Finding the Fourth Proportional to 202,049.04, 303,117.28 and 77,390

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Solution

The fourth proportional to 202,049.04, 303,117.28 and 77,390 is: 116,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,049.04 : 303,117.28 = 77,390 : x
  2. Step 2: Convert to fraction form
    202,049.04/303,117.28 = 77,390/x
  3. Step 3: Cross multiply
    202,049.04x = 303,117.28 × 77,390
  4. Step 4: Simplify right side
    202,049.04x = 23,458,246,299.20
  5. Step 5: Solve for x
    x = 23,458,246,299.20/202,049.04
  6. Step 6: Final answer
    x = 116,101.75

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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.