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Finding the Fourth Proportional to 70,317.74, 105,463.17 and 21,069.74

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Solution

The fourth proportional to 70,317.74, 105,463.17 and 21,069.74 is: 31,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,317.74 : 105,463.17 = 21,069.74 : x
  2. Step 2: Convert to fraction form
    70,317.74/105,463.17 = 21,069.74/x
  3. Step 3: Cross multiply
    70,317.74x = 105,463.17 × 21,069.74
  4. Step 4: Simplify right side
    70,317.74x = 2,222,081,571.48
  5. Step 5: Solve for x
    x = 2,222,081,571.48/70,317.74
  6. Step 6: Final answer
    x = 31,600.58

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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.