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Finding the Fourth Proportional to 201,961.76, 278,690.84 and 117,084.29

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Solution

The fourth proportional to 201,961.76, 278,690.84 and 117,084.29 is: 161,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,961.76 : 278,690.84 = 117,084.29 : x
  2. Step 2: Convert to fraction form
    201,961.76/278,690.84 = 117,084.29/x
  3. Step 3: Cross multiply
    201,961.76x = 278,690.84 × 117,084.29
  4. Step 4: Simplify right side
    201,961.76x = 32,630,319,130.90
  5. Step 5: Solve for x
    x = 32,630,319,130.90/201,961.76
  6. Step 6: Final answer
    x = 161,566.82

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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.