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Finding the Fourth Proportional to 203,577.60, 305,452.80 and 98,342.40

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Solution

The fourth proportional to 203,577.60, 305,452.80 and 98,342.40 is: 147,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,577.60 : 305,452.80 = 98,342.40 : x
  2. Step 2: Convert to fraction form
    203,577.60/305,452.80 = 98,342.40/x
  3. Step 3: Cross multiply
    203,577.60x = 305,452.80 × 98,342.40
  4. Step 4: Simplify right side
    203,577.60x = 30,038,961,438.72
  5. Step 5: Solve for x
    x = 30,038,961,438.72/203,577.60
  6. Step 6: Final answer
    x = 147,555.34

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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.