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Finding the Fourth Proportional to 49,896.64, 74,848.12 and 20,298.28

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Solution

The fourth proportional to 49,896.64, 74,848.12 and 20,298.28 is: 30,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896.64 : 74,848.12 = 20,298.28 : x
  2. Step 2: Convert to fraction form
    49,896.64/74,848.12 = 20,298.28/x
  3. Step 3: Cross multiply
    49,896.64x = 74,848.12 × 20,298.28
  4. Step 4: Simplify right side
    49,896.64x = 1,519,288,097.23
  5. Step 5: Solve for x
    x = 1,519,288,097.23/49,896.64
  6. Step 6: Final answer
    x = 30,448.71

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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.