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Finding the Fourth Proportional to 202,298.75, 303,462.71 and 77,639.75

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Solution

The fourth proportional to 202,298.75, 303,462.71 and 77,639.75 is: 116,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.75 : 303,462.71 = 77,639.75 : x
  2. Step 2: Convert to fraction form
    202,298.75/303,462.71 = 77,639.75/x
  3. Step 3: Cross multiply
    202,298.75x = 303,462.71 × 77,639.75
  4. Step 4: Simplify right side
    202,298.75x = 23,560,768,550.52
  5. Step 5: Solve for x
    x = 23,560,768,550.52/202,298.75
  6. Step 6: Final answer
    x = 116,465.22

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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.