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Finding the Fourth Proportional to 203,911.88, 305,424.32 and 98,509

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Solution

The fourth proportional to 203,911.88, 305,424.32 and 98,509 is: 147,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,911.88 : 305,424.32 = 98,509 : x
  2. Step 2: Convert to fraction form
    203,911.88/305,424.32 = 98,509/x
  3. Step 3: Cross multiply
    203,911.88x = 305,424.32 × 98,509
  4. Step 4: Simplify right side
    203,911.88x = 30,087,044,338.88
  5. Step 5: Solve for x
    x = 30,087,044,338.88/203,911.88
  6. Step 6: Final answer
    x = 147,549.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.