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Finding the Fourth Proportional to 201,655, 278,288.76 and 121,085.92

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Solution

The fourth proportional to 201,655, 278,288.76 and 121,085.92 is: 167,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,655 : 278,288.76 = 121,085.92 : x
  2. Step 2: Convert to fraction form
    201,655/278,288.76 = 121,085.92/x
  3. Step 3: Cross multiply
    201,655x = 278,288.76 × 121,085.92
  4. Step 4: Simplify right side
    201,655x = 33,696,850,530.26
  5. Step 5: Solve for x
    x = 33,696,850,530.26/201,655
  6. Step 6: Final answer
    x = 167,101.49

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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.