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Finding the Fourth Proportional to 131,750.31, 197,165.79 and 107,780.79

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Solution

The fourth proportional to 131,750.31, 197,165.79 and 107,780.79 is: 161,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,750.31 : 197,165.79 = 107,780.79 : x
  2. Step 2: Convert to fraction form
    131,750.31/197,165.79 = 107,780.79/x
  3. Step 3: Cross multiply
    131,750.31x = 197,165.79 × 107,780.79
  4. Step 4: Simplify right side
    131,750.31x = 21,250,684,607.17
  5. Step 5: Solve for x
    x = 21,250,684,607.17/131,750.31
  6. Step 6: Final answer
    x = 161,295.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.