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Finding the Fourth Proportional to 201,969.86, 278,615.90 and 154,140.17

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Solution

The fourth proportional to 201,969.86, 278,615.90 and 154,140.17 is: 212,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,969.86 : 278,615.90 = 154,140.17 : x
  2. Step 2: Convert to fraction form
    201,969.86/278,615.90 = 154,140.17/x
  3. Step 3: Cross multiply
    201,969.86x = 278,615.90 × 154,140.17
  4. Step 4: Simplify right side
    201,969.86x = 42,945,901,182.97
  5. Step 5: Solve for x
    x = 42,945,901,182.97/201,969.86
  6. Step 6: Final answer
    x = 212,635.20

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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.