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Finding the Fourth Proportional to 203,913.18, 305,924.72 and 85,552.74

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Solution

The fourth proportional to 203,913.18, 305,924.72 and 85,552.74 is: 128,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,913.18 : 305,924.72 = 85,552.74 : x
  2. Step 2: Convert to fraction form
    203,913.18/305,924.72 = 85,552.74/x
  3. Step 3: Cross multiply
    203,913.18x = 305,924.72 × 85,552.74
  4. Step 4: Simplify right side
    203,913.18x = 26,172,697,601.97
  5. Step 5: Solve for x
    x = 26,172,697,601.97/203,913.18
  6. Step 6: Final answer
    x = 128,352.16

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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.