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Finding the Fourth Proportional to 201,969.56, 278,734.05 and 111,341.63

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Solution

The fourth proportional to 201,969.56, 278,734.05 and 111,341.63 is: 153,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,969.56 : 278,734.05 = 111,341.63 : x
  2. Step 2: Convert to fraction form
    201,969.56/278,734.05 = 111,341.63/x
  3. Step 3: Cross multiply
    201,969.56x = 278,734.05 × 111,341.63
  4. Step 4: Simplify right side
    201,969.56x = 31,034,702,069.83
  5. Step 5: Solve for x
    x = 31,034,702,069.83/201,969.56
  6. Step 6: Final answer
    x = 153,660.30

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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.