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Finding the Fourth Proportional to 72,333.24, 108,465.84 and 27,980.88

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Solution

The fourth proportional to 72,333.24, 108,465.84 and 27,980.88 is: 41,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,333.24 : 108,465.84 = 27,980.88 : x
  2. Step 2: Convert to fraction form
    72,333.24/108,465.84 = 27,980.88/x
  3. Step 3: Cross multiply
    72,333.24x = 108,465.84 × 27,980.88
  4. Step 4: Simplify right side
    72,333.24x = 3,034,969,653.14
  5. Step 5: Solve for x
    x = 3,034,969,653.14/72,333.24
  6. Step 6: Final answer
    x = 41,958.16

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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.