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Finding the Fourth Proportional to 118,914.14, 164,103.36 and 71,169.50

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Solution

The fourth proportional to 118,914.14, 164,103.36 and 71,169.50 is: 98,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,914.14 : 164,103.36 = 71,169.50 : x
  2. Step 2: Convert to fraction form
    118,914.14/164,103.36 = 71,169.50/x
  3. Step 3: Cross multiply
    118,914.14x = 164,103.36 × 71,169.50
  4. Step 4: Simplify right side
    118,914.14x = 11,679,154,079.52
  5. Step 5: Solve for x
    x = 11,679,154,079.52/118,914.14
  6. Step 6: Final answer
    x = 98,215.02

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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.