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Finding the Fourth Proportional to 77,138.69, 115,773.78 and 30,424.37

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Solution

The fourth proportional to 77,138.69, 115,773.78 and 30,424.37 is: 45,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138.69 : 115,773.78 = 30,424.37 : x
  2. Step 2: Convert to fraction form
    77,138.69/115,773.78 = 30,424.37/x
  3. Step 3: Cross multiply
    77,138.69x = 115,773.78 × 30,424.37
  4. Step 4: Simplify right side
    77,138.69x = 3,522,344,319.02
  5. Step 5: Solve for x
    x = 3,522,344,319.02/77,138.69
  6. Step 6: Final answer
    x = 45,662.49

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1.5x scale

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.