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Finding the Fourth Proportional to 73,280, 109,914.88 and 38,239.36

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Solution

The fourth proportional to 73,280, 109,914.88 and 38,239.36 is: 57,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,280 : 109,914.88 = 38,239.36 : x
  2. Step 2: Convert to fraction form
    73,280/109,914.88 = 38,239.36/x
  3. Step 3: Cross multiply
    73,280x = 109,914.88 × 38,239.36
  4. Step 4: Simplify right side
    73,280x = 4,203,074,665.68
  5. Step 5: Solve for x
    x = 4,203,074,665.68/73,280
  6. Step 6: Final answer
    x = 57,356.37

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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.