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Finding the Fourth Proportional to 72,904.80, 109,357.20 and 49,285.20

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Solution

The fourth proportional to 72,904.80, 109,357.20 and 49,285.20 is: 73,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,904.80 : 109,357.20 = 49,285.20 : x
  2. Step 2: Convert to fraction form
    72,904.80/109,357.20 = 49,285.20/x
  3. Step 3: Cross multiply
    72,904.80x = 109,357.20 × 49,285.20
  4. Step 4: Simplify right side
    72,904.80x = 5,389,691,473.44
  5. Step 5: Solve for x
    x = 5,389,691,473.44/72,904.80
  6. Step 6: Final answer
    x = 73,927.80

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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.