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Finding the Fourth Proportional to 143,406.13, 197,905.25 and 78,878.09

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Solution

The fourth proportional to 143,406.13, 197,905.25 and 78,878.09 is: 108,854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,406.13 : 197,905.25 = 78,878.09 : x
  2. Step 2: Convert to fraction form
    143,406.13/197,905.25 = 78,878.09/x
  3. Step 3: Cross multiply
    143,406.13x = 197,905.25 × 78,878.09
  4. Step 4: Simplify right side
    143,406.13x = 15,610,388,120.97
  5. Step 5: Solve for x
    x = 15,610,388,120.97/143,406.13
  6. Step 6: Final answer
    x = 108,854.40

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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.