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Finding the Fourth Proportional to 201,859.08, 278,552.16 and 121,290

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Solution

The fourth proportional to 201,859.08, 278,552.16 and 121,290 is: 167,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,859.08 : 278,552.16 = 121,290 : x
  2. Step 2: Convert to fraction form
    201,859.08/278,552.16 = 121,290/x
  3. Step 3: Cross multiply
    201,859.08x = 278,552.16 × 121,290
  4. Step 4: Simplify right side
    201,859.08x = 33,785,591,486.40
  5. Step 5: Solve for x
    x = 33,785,591,486.40/201,859.08
  6. Step 6: Final answer
    x = 167,372.17

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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.