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Finding the Fourth Proportional to 49,798.80, 74,706.12 and 20,219.22

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Solution

The fourth proportional to 49,798.80, 74,706.12 and 20,219.22 is: 30,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,798.80 : 74,706.12 = 20,219.22 : x
  2. Step 2: Convert to fraction form
    49,798.80/74,706.12 = 20,219.22/x
  3. Step 3: Cross multiply
    49,798.80x = 74,706.12 × 20,219.22
  4. Step 4: Simplify right side
    49,798.80x = 1,510,499,475.63
  5. Step 5: Solve for x
    x = 1,510,499,475.63/49,798.80
  6. Step 6: Final answer
    x = 30,332.05

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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.