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Finding the Fourth Proportional to 201,677, 278,314.26 and 112,251.08

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Solution

The fourth proportional to 201,677, 278,314.26 and 112,251.08 is: 154,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,677 : 278,314.26 = 112,251.08 : x
  2. Step 2: Convert to fraction form
    201,677/278,314.26 = 112,251.08/x
  3. Step 3: Cross multiply
    201,677x = 278,314.26 × 112,251.08
  4. Step 4: Simplify right side
    201,677x = 31,241,076,264.40
  5. Step 5: Solve for x
    x = 31,241,076,264.40/201,677
  6. Step 6: Final answer
    x = 154,906.49

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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.