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Finding the Fourth Proportional to 131,757.76, 181,824.24 and 71,326.96

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Solution

The fourth proportional to 131,757.76, 181,824.24 and 71,326.96 is: 98,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,757.76 : 181,824.24 = 71,326.96 : x
  2. Step 2: Convert to fraction form
    131,757.76/181,824.24 = 71,326.96/x
  3. Step 3: Cross multiply
    131,757.76x = 181,824.24 × 71,326.96
  4. Step 4: Simplify right side
    131,757.76x = 12,968,970,293.51
  5. Step 5: Solve for x
    x = 12,968,970,293.51/131,757.76
  6. Step 6: Final answer
    x = 98,430.41

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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.