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Finding the Fourth Proportional to 143,405.31, 197,904.13 and 78,877.27

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Solution

The fourth proportional to 143,405.31, 197,904.13 and 78,877.27 is: 108,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,405.31 : 197,904.13 = 78,877.27 : x
  2. Step 2: Convert to fraction form
    143,405.31/197,904.13 = 78,877.27/x
  3. Step 3: Cross multiply
    143,405.31x = 197,904.13 × 78,877.27
  4. Step 4: Simplify right side
    143,405.31x = 15,610,137,546.31
  5. Step 5: Solve for x
    x = 15,610,137,546.31/143,405.31
  6. Step 6: Final answer
    x = 108,853.27

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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.