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Finding the Fourth Proportional to 131,969.80, 197,747.03 and 102,057.31

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Solution

The fourth proportional to 131,969.80, 197,747.03 and 102,057.31 is: 152,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,969.80 : 197,747.03 = 102,057.31 : x
  2. Step 2: Convert to fraction form
    131,969.80/197,747.03 = 102,057.31/x
  3. Step 3: Cross multiply
    131,969.80x = 197,747.03 × 102,057.31
  4. Step 4: Simplify right side
    131,969.80x = 20,181,529,432.00
  5. Step 5: Solve for x
    x = 20,181,529,432.00/131,969.80
  6. Step 6: Final answer
    x = 152,925.36

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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.