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Finding the Fourth Proportional to 77,166.68, 115,720.66 and 27,237.48

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Solution

The fourth proportional to 77,166.68, 115,720.66 and 27,237.48 is: 40,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,166.68 : 115,720.66 = 27,237.48 : x
  2. Step 2: Convert to fraction form
    77,166.68/115,720.66 = 27,237.48/x
  3. Step 3: Cross multiply
    77,166.68x = 115,720.66 × 27,237.48
  4. Step 4: Simplify right side
    77,166.68x = 3,151,939,162.34
  5. Step 5: Solve for x
    x = 3,151,939,162.34/77,166.68
  6. Step 6: Final answer
    x = 40,845.86

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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.