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Finding the Fourth Proportional to 201,966.96, 278,701.72 and 111,317.94

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Solution

The fourth proportional to 201,966.96, 278,701.72 and 111,317.94 is: 153,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,966.96 : 278,701.72 = 111,317.94 : x
  2. Step 2: Convert to fraction form
    201,966.96/278,701.72 = 111,317.94/x
  3. Step 3: Cross multiply
    201,966.96x = 278,701.72 × 111,317.94
  4. Step 4: Simplify right side
    201,966.96x = 31,024,501,344.86
  5. Step 5: Solve for x
    x = 31,024,501,344.86/201,966.96
  6. Step 6: Final answer
    x = 153,611.77

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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.