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Finding the Fourth Proportional to 203,901.66, 305,684.10 and 89,968.36

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Solution

The fourth proportional to 203,901.66, 305,684.10 and 89,968.36 is: 134,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,901.66 : 305,684.10 = 89,968.36 : x
  2. Step 2: Convert to fraction form
    203,901.66/305,684.10 = 89,968.36/x
  3. Step 3: Cross multiply
    203,901.66x = 305,684.10 × 89,968.36
  4. Step 4: Simplify right side
    203,901.66x = 27,501,897,155.08
  5. Step 5: Solve for x
    x = 27,501,897,155.08/203,901.66
  6. Step 6: Final answer
    x = 134,878.24

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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.