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Finding the Fourth Proportional to 188,429.88, 260,032.44 and 107,857

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Solution

The fourth proportional to 188,429.88, 260,032.44 and 107,857 is: 148,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,429.88 : 260,032.44 = 107,857 : x
  2. Step 2: Convert to fraction form
    188,429.88/260,032.44 = 107,857/x
  3. Step 3: Cross multiply
    188,429.88x = 260,032.44 × 107,857
  4. Step 4: Simplify right side
    188,429.88x = 28,046,318,881.08
  5. Step 5: Solve for x
    x = 28,046,318,881.08/188,429.88
  6. Step 6: Final answer
    x = 148,842.21

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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.