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Finding the Fourth Proportional to 188,531.30, 260,172.04 and 106,859.16

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Solution

The fourth proportional to 188,531.30, 260,172.04 and 106,859.16 is: 147,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,531.30 : 260,172.04 = 106,859.16 : x
  2. Step 2: Convert to fraction form
    188,531.30/260,172.04 = 106,859.16/x
  3. Step 3: Cross multiply
    188,531.30x = 260,172.04 × 106,859.16
  4. Step 4: Simplify right side
    188,531.30x = 27,801,765,649.89
  5. Step 5: Solve for x
    x = 27,801,765,649.89/188,531.30
  6. Step 6: Final answer
    x = 147,464.99

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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.