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Finding the Fourth Proportional to 35,218, 48,605.16 and 20,314

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Solution

The fourth proportional to 35,218, 48,605.16 and 20,314 is: 28,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218 : 48,605.16 = 20,314 : x
  2. Step 2: Convert to fraction form
    35,218/48,605.16 = 20,314/x
  3. Step 3: Cross multiply
    35,218x = 48,605.16 × 20,314
  4. Step 4: Simplify right side
    35,218x = 987,365,220.24
  5. Step 5: Solve for x
    x = 987,365,220.24/35,218
  6. Step 6: Final answer
    x = 28,035.81

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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.