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Finding the Fourth Proportional to 77,055.58, 115,616.76 and 27,171.31

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Solution

The fourth proportional to 77,055.58, 115,616.76 and 27,171.31 is: 40,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,055.58 : 115,616.76 = 27,171.31 : x
  2. Step 2: Convert to fraction form
    77,055.58/115,616.76 = 27,171.31/x
  3. Step 3: Cross multiply
    77,055.58x = 115,616.76 × 27,171.31
  4. Step 4: Simplify right side
    77,055.58x = 3,141,458,827.16
  5. Step 5: Solve for x
    x = 3,141,458,827.16/77,055.58
  6. Step 6: Final answer
    x = 40,768.74

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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.