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Finding the Fourth Proportional to 50,505, 69,688.68 and 30,357

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Solution

The fourth proportional to 50,505, 69,688.68 and 30,357 is: 41,887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,505 : 69,688.68 = 30,357 : x
  2. Step 2: Convert to fraction form
    50,505/69,688.68 = 30,357/x
  3. Step 3: Cross multiply
    50,505x = 69,688.68 × 30,357
  4. Step 4: Simplify right side
    50,505x = 2,115,539,258.76
  5. Step 5: Solve for x
    x = 2,115,539,258.76/50,505
  6. Step 6: Final answer
    x = 41,887.72

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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.