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Finding the Fourth Proportional to 77,703.66, 107,223.12 and 43,706.70

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Solution

The fourth proportional to 77,703.66, 107,223.12 and 43,706.70 is: 60,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,703.66 : 107,223.12 = 43,706.70 : x
  2. Step 2: Convert to fraction form
    77,703.66/107,223.12 = 43,706.70/x
  3. Step 3: Cross multiply
    77,703.66x = 107,223.12 × 43,706.70
  4. Step 4: Simplify right side
    77,703.66x = 4,686,368,738.90
  5. Step 5: Solve for x
    x = 4,686,368,738.90/77,703.66
  6. Step 6: Final answer
    x = 60,310.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.