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Finding the Fourth Proportional to 132,470.88, 182,777.81 and 84,055.15

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Solution

The fourth proportional to 132,470.88, 182,777.81 and 84,055.15 is: 115,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,470.88 : 182,777.81 = 84,055.15 : x
  2. Step 2: Convert to fraction form
    132,470.88/182,777.81 = 84,055.15/x
  3. Step 3: Cross multiply
    132,470.88x = 182,777.81 × 84,055.15
  4. Step 4: Simplify right side
    132,470.88x = 15,363,415,815.95
  5. Step 5: Solve for x
    x = 15,363,415,815.95/132,470.88
  6. Step 6: Final answer
    x = 115,975.80

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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.