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Finding the Fourth Proportional to 201,966.90, 278,701.64 and 111,317.88

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Solution

The fourth proportional to 201,966.90, 278,701.64 and 111,317.88 is: 153,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,966.90 : 278,701.64 = 111,317.88 : x
  2. Step 2: Convert to fraction form
    201,966.90/278,701.64 = 111,317.88/x
  3. Step 3: Cross multiply
    201,966.90x = 278,701.64 × 111,317.88
  4. Step 4: Simplify right side
    201,966.90x = 31,024,474,323.82
  5. Step 5: Solve for x
    x = 31,024,474,323.82/201,966.90
  6. Step 6: Final answer
    x = 153,611.68

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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.