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Finding the Fourth Proportional to 203,925.38, 305,953.07 and 85,564.94

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Solution

The fourth proportional to 203,925.38, 305,953.07 and 85,564.94 is: 128,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,925.38 : 305,953.07 = 85,564.94 : x
  2. Step 2: Convert to fraction form
    203,925.38/305,953.07 = 85,564.94/x
  3. Step 3: Cross multiply
    203,925.38x = 305,953.07 × 85,564.94
  4. Step 4: Simplify right side
    203,925.38x = 26,178,854,119.78
  5. Step 5: Solve for x
    x = 26,178,854,119.78/203,925.38
  6. Step 6: Final answer
    x = 128,374.68

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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.