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Finding the Fourth Proportional to 77,170.53, 115,673.79 and 37,164.57

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Solution

The fourth proportional to 77,170.53, 115,673.79 and 37,164.57 is: 55,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,170.53 : 115,673.79 = 37,164.57 : x
  2. Step 2: Convert to fraction form
    77,170.53/115,673.79 = 37,164.57/x
  3. Step 3: Cross multiply
    77,170.53x = 115,673.79 × 37,164.57
  4. Step 4: Simplify right side
    77,170.53x = 4,298,966,665.62
  5. Step 5: Solve for x
    x = 4,298,966,665.62/77,170.53
  6. Step 6: Final answer
    x = 55,707.36

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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.