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Finding the Fourth Proportional to 205,284.53, 307,935.30 and 70,441.30

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Solution

The fourth proportional to 205,284.53, 307,935.30 and 70,441.30 is: 105,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,284.53 : 307,935.30 = 70,441.30 : x
  2. Step 2: Convert to fraction form
    205,284.53/307,935.30 = 70,441.30/x
  3. Step 3: Cross multiply
    205,284.53x = 307,935.30 × 70,441.30
  4. Step 4: Simplify right side
    205,284.53x = 21,691,363,496.96
  5. Step 5: Solve for x
    x = 21,691,363,496.96/205,284.53
  6. Step 6: Final answer
    x = 105,664.87

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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.