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Finding the Fourth Proportional to 73,172.32, 109,708.54 and 38,983.21

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Solution

The fourth proportional to 73,172.32, 109,708.54 and 38,983.21 is: 58,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,172.32 : 109,708.54 = 38,983.21 : x
  2. Step 2: Convert to fraction form
    73,172.32/109,708.54 = 38,983.21/x
  3. Step 3: Cross multiply
    73,172.32x = 109,708.54 × 38,983.21
  4. Step 4: Simplify right side
    73,172.32x = 4,276,790,681.88
  5. Step 5: Solve for x
    x = 4,276,790,681.88/73,172.32
  6. Step 6: Final answer
    x = 58,448.20

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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.