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Finding the Fourth Proportional to 77,109.76, 115,593.60 and 27,162.64

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Solution

The fourth proportional to 77,109.76, 115,593.60 and 27,162.64 is: 40,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,109.76 : 115,593.60 = 27,162.64 : x
  2. Step 2: Convert to fraction form
    77,109.76/115,593.60 = 27,162.64/x
  3. Step 3: Cross multiply
    77,109.76x = 115,593.60 × 27,162.64
  4. Step 4: Simplify right side
    77,109.76x = 3,139,827,343.10
  5. Step 5: Solve for x
    x = 3,139,827,343.10/77,109.76
  6. Step 6: Final answer
    x = 40,718.94

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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.