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Finding the Fourth Proportional to 188,089.92, 259,569.54 and 103,212.36

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Solution

The fourth proportional to 188,089.92, 259,569.54 and 103,212.36 is: 142,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,089.92 : 259,569.54 = 103,212.36 : x
  2. Step 2: Convert to fraction form
    188,089.92/259,569.54 = 103,212.36/x
  3. Step 3: Cross multiply
    188,089.92x = 259,569.54 × 103,212.36
  4. Step 4: Simplify right side
    188,089.92x = 26,790,784,807.51
  5. Step 5: Solve for x
    x = 26,790,784,807.51/188,089.92
  6. Step 6: Final answer
    x = 142,436.05

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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.