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Finding the Fourth Proportional to 203,821.60, 305,775.60 and 61,655.20

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Solution

The fourth proportional to 203,821.60, 305,775.60 and 61,655.20 is: 92,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,821.60 : 305,775.60 = 61,655.20 : x
  2. Step 2: Convert to fraction form
    203,821.60/305,775.60 = 61,655.20/x
  3. Step 3: Cross multiply
    203,821.60x = 305,775.60 × 61,655.20
  4. Step 4: Simplify right side
    203,821.60x = 18,852,655,773.12
  5. Step 5: Solve for x
    x = 18,852,655,773.12/203,821.60
  6. Step 6: Final answer
    x = 92,495.87

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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.