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Finding the Fourth Proportional to 202,208.40, 303,421.95 and 89,905.95

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Solution

The fourth proportional to 202,208.40, 303,421.95 and 89,905.95 is: 134,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208.40 : 303,421.95 = 89,905.95 : x
  2. Step 2: Convert to fraction form
    202,208.40/303,421.95 = 89,905.95/x
  3. Step 3: Cross multiply
    202,208.40x = 303,421.95 × 89,905.95
  4. Step 4: Simplify right side
    202,208.40x = 27,279,438,665.60
  5. Step 5: Solve for x
    x = 27,279,438,665.60/202,208.40
  6. Step 6: Final answer
    x = 134,907.54

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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.