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Finding the Fourth Proportional to 35,989.78, 49,665.90 and 20,074.24

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Solution

The fourth proportional to 35,989.78, 49,665.90 and 20,074.24 is: 27,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,989.78 : 49,665.90 = 20,074.24 : x
  2. Step 2: Convert to fraction form
    35,989.78/49,665.90 = 20,074.24/x
  3. Step 3: Cross multiply
    35,989.78x = 49,665.90 × 20,074.24
  4. Step 4: Simplify right side
    35,989.78x = 997,005,196.42
  5. Step 5: Solve for x
    x = 997,005,196.42/35,989.78
  6. Step 6: Final answer
    x = 27,702.45

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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.