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Finding the Fourth Proportional to 203,962.96, 305,500.80 and 98,560

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Solution

The fourth proportional to 203,962.96, 305,500.80 and 98,560 is: 147,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,962.96 : 305,500.80 = 98,560 : x
  2. Step 2: Convert to fraction form
    203,962.96/305,500.80 = 98,560/x
  3. Step 3: Cross multiply
    203,962.96x = 305,500.80 × 98,560
  4. Step 4: Simplify right side
    203,962.96x = 30,110,158,848
  5. Step 5: Solve for x
    x = 30,110,158,848/203,962.96
  6. Step 6: Final answer
    x = 147,625.62

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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.