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Finding the Fourth Proportional to 131,292, 181,182.96 and 74,736

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Solution

The fourth proportional to 131,292, 181,182.96 and 74,736 is: 103,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,292 : 181,182.96 = 74,736 : x
  2. Step 2: Convert to fraction form
    131,292/181,182.96 = 74,736/x
  3. Step 3: Cross multiply
    131,292x = 181,182.96 × 74,736
  4. Step 4: Simplify right side
    131,292x = 13,540,889,698.56
  5. Step 5: Solve for x
    x = 13,540,889,698.56/131,292
  6. Step 6: Final answer
    x = 103,135.68

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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.