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Finding the Fourth Proportional to 49,577.80, 74,265.90 and 30,800.20

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Solution

The fourth proportional to 49,577.80, 74,265.90 and 30,800.20 is: 46,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,577.80 : 74,265.90 = 30,800.20 : x
  2. Step 2: Convert to fraction form
    49,577.80/74,265.90 = 30,800.20/x
  3. Step 3: Cross multiply
    49,577.80x = 74,265.90 × 30,800.20
  4. Step 4: Simplify right side
    49,577.80x = 2,287,404,573.18
  5. Step 5: Solve for x
    x = 2,287,404,573.18/49,577.80
  6. Step 6: Final answer
    x = 46,137.68

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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.