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Finding the Fourth Proportional to 72,864.64, 109,371.84 and 37,794.88

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Solution

The fourth proportional to 72,864.64, 109,371.84 and 37,794.88 is: 56,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,864.64 : 109,371.84 = 37,794.88 : x
  2. Step 2: Convert to fraction form
    72,864.64/109,371.84 = 37,794.88/x
  3. Step 3: Cross multiply
    72,864.64x = 109,371.84 × 37,794.88
  4. Step 4: Simplify right side
    72,864.64x = 4,133,695,568.18
  5. Step 5: Solve for x
    x = 4,133,695,568.18/72,864.64
  6. Step 6: Final answer
    x = 56,731.16

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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.