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Finding the Fourth Proportional to 201,958.13, 278,700.71 and 111,314.27

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Solution

The fourth proportional to 201,958.13, 278,700.71 and 111,314.27 is: 153,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,958.13 : 278,700.71 = 111,314.27 : x
  2. Step 2: Convert to fraction form
    201,958.13/278,700.71 = 111,314.27/x
  3. Step 3: Cross multiply
    201,958.13x = 278,700.71 × 111,314.27
  4. Step 4: Simplify right side
    201,958.13x = 31,023,366,222.31
  5. Step 5: Solve for x
    x = 31,023,366,222.31/201,958.13
  6. Step 6: Final answer
    x = 153,612.86

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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.