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Finding the Fourth Proportional to 77,705.84, 107,223.96 and 43,713.17

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Solution

The fourth proportional to 77,705.84, 107,223.96 and 43,713.17 is: 60,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,705.84 : 107,223.96 = 43,713.17 : x
  2. Step 2: Convert to fraction form
    77,705.84/107,223.96 = 43,713.17/x
  3. Step 3: Cross multiply
    77,705.84x = 107,223.96 × 43,713.17
  4. Step 4: Simplify right side
    77,705.84x = 4,687,099,623.54
  5. Step 5: Solve for x
    x = 4,687,099,623.54/77,705.84
  6. Step 6: Final answer
    x = 60,318.50

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1.5x scale

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.