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Finding the Fourth Proportional to 49,999.80, 74,999.78 and 20,417.64

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Solution

The fourth proportional to 49,999.80, 74,999.78 and 20,417.64 is: 30,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,999.80 : 74,999.78 = 20,417.64 : x
  2. Step 2: Convert to fraction form
    49,999.80/74,999.78 = 20,417.64/x
  3. Step 3: Cross multiply
    49,999.80x = 74,999.78 × 20,417.64
  4. Step 4: Simplify right side
    49,999.80x = 1,531,318,303.69
  5. Step 5: Solve for x
    x = 1,531,318,303.69/49,999.80
  6. Step 6: Final answer
    x = 30,626.49

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1.5x scale

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.