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Finding the Fourth Proportional to 77,165, 115,747.38 and 50,678.21

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Solution

The fourth proportional to 77,165, 115,747.38 and 50,678.21 is: 76,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,165 : 115,747.38 = 50,678.21 : x
  2. Step 2: Convert to fraction form
    77,165/115,747.38 = 50,678.21/x
  3. Step 3: Cross multiply
    77,165x = 115,747.38 × 50,678.21
  4. Step 4: Simplify right side
    77,165x = 5,865,870,030.59
  5. Step 5: Solve for x
    x = 5,865,870,030.59/77,165
  6. Step 6: Final answer
    x = 76,017.24

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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.