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Finding the Fourth Proportional to 203,954.40, 305,931.60 and 128,830.95

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Solution

The fourth proportional to 203,954.40, 305,931.60 and 128,830.95 is: 193,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,954.40 : 305,931.60 = 128,830.95 : x
  2. Step 2: Convert to fraction form
    203,954.40/305,931.60 = 128,830.95/x
  3. Step 3: Cross multiply
    203,954.40x = 305,931.60 × 128,830.95
  4. Step 4: Simplify right side
    203,954.40x = 39,413,458,663.02
  5. Step 5: Solve for x
    x = 39,413,458,663.02/203,954.40
  6. Step 6: Final answer
    x = 193,246.43

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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.