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Finding the Fourth Proportional to 201,506.73, 278,079.27 and 110,860.74

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Solution

The fourth proportional to 201,506.73, 278,079.27 and 110,860.74 is: 152,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,506.73 : 278,079.27 = 110,860.74 : x
  2. Step 2: Convert to fraction form
    201,506.73/278,079.27 = 110,860.74/x
  3. Step 3: Cross multiply
    201,506.73x = 278,079.27 × 110,860.74
  4. Step 4: Simplify right side
    201,506.73x = 30,828,073,650.86
  5. Step 5: Solve for x
    x = 30,828,073,650.86/201,506.73
  6. Step 6: Final answer
    x = 152,987.81

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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.