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Finding the Fourth Proportional to 48,771.40, 73,113.30 and 19,209.40

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Solution

The fourth proportional to 48,771.40, 73,113.30 and 19,209.40 is: 28,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,771.40 : 73,113.30 = 19,209.40 : x
  2. Step 2: Convert to fraction form
    48,771.40/73,113.30 = 19,209.40/x
  3. Step 3: Cross multiply
    48,771.40x = 73,113.30 × 19,209.40
  4. Step 4: Simplify right side
    48,771.40x = 1,404,462,625.02
  5. Step 5: Solve for x
    x = 1,404,462,625.02/48,771.40
  6. Step 6: Final answer
    x = 28,796.85

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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.