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Finding the Fourth Proportional to 72,803.91, 109,162.80 and 28,378.80

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Solution

The fourth proportional to 72,803.91, 109,162.80 and 28,378.80 is: 42,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,803.91 : 109,162.80 = 28,378.80 : x
  2. Step 2: Convert to fraction form
    72,803.91/109,162.80 = 28,378.80/x
  3. Step 3: Cross multiply
    72,803.91x = 109,162.80 × 28,378.80
  4. Step 4: Simplify right side
    72,803.91x = 3,097,909,268.64
  5. Step 5: Solve for x
    x = 3,097,909,268.64/72,803.91
  6. Step 6: Final answer
    x = 42,551.41

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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.