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Finding the Fourth Proportional to 202,138.90, 303,208.35 and 185,809.30

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Solution

The fourth proportional to 202,138.90, 303,208.35 and 185,809.30 is: 278,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,138.90 : 303,208.35 = 185,809.30 : x
  2. Step 2: Convert to fraction form
    202,138.90/303,208.35 = 185,809.30/x
  3. Step 3: Cross multiply
    202,138.90x = 303,208.35 × 185,809.30
  4. Step 4: Simplify right side
    202,138.90x = 56,338,931,267.66
  5. Step 5: Solve for x
    x = 56,338,931,267.66/202,138.90
  6. Step 6: Final answer
    x = 278,713.95

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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.