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Finding the Fourth Proportional to 188,880, 260,649.24 and 103,997.52

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Solution

The fourth proportional to 188,880, 260,649.24 and 103,997.52 is: 143,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,880 : 260,649.24 = 103,997.52 : x
  2. Step 2: Convert to fraction form
    188,880/260,649.24 = 103,997.52/x
  3. Step 3: Cross multiply
    188,880x = 260,649.24 × 103,997.52
  4. Step 4: Simplify right side
    188,880x = 27,106,874,549.88
  5. Step 5: Solve for x
    x = 27,106,874,549.88/188,880
  6. Step 6: Final answer
    x = 143,513.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.