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Finding the Fourth Proportional to 203,733.50, 305,323.38 and 77,305.76

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Solution

The fourth proportional to 203,733.50, 305,323.38 and 77,305.76 is: 115,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,733.50 : 305,323.38 = 77,305.76 : x
  2. Step 2: Convert to fraction form
    203,733.50/305,323.38 = 77,305.76/x
  3. Step 3: Cross multiply
    203,733.50x = 305,323.38 × 77,305.76
  4. Step 4: Simplify right side
    203,733.50x = 23,603,255,936.67
  5. Step 5: Solve for x
    x = 23,603,255,936.67/203,733.50
  6. Step 6: Final answer
    x = 115,853.58

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1.5x scale

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.