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Finding the Fourth Proportional to 189,189.50, 261,083.31 and 104,309.60

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Solution

The fourth proportional to 189,189.50, 261,083.31 and 104,309.60 is: 143,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,189.50 : 261,083.31 = 104,309.60 : x
  2. Step 2: Convert to fraction form
    189,189.50/261,083.31 = 104,309.60/x
  3. Step 3: Cross multiply
    189,189.50x = 261,083.31 × 104,309.60
  4. Step 4: Simplify right side
    189,189.50x = 27,233,495,632.78
  5. Step 5: Solve for x
    x = 27,233,495,632.78/189,189.50
  6. Step 6: Final answer
    x = 143,948.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.