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Finding the Fourth Proportional to 202,171.41, 303,443.86 and 102,401.66

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Solution

The fourth proportional to 202,171.41, 303,443.86 and 102,401.66 is: 153,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,171.41 : 303,443.86 = 102,401.66 : x
  2. Step 2: Convert to fraction form
    202,171.41/303,443.86 = 102,401.66/x
  3. Step 3: Cross multiply
    202,171.41x = 303,443.86 × 102,401.66
  4. Step 4: Simplify right side
    202,171.41x = 31,073,155,318.06
  5. Step 5: Solve for x
    x = 31,073,155,318.06/202,171.41
  6. Step 6: Final answer
    x = 153,697.08

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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.