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Finding the Fourth Proportional to 188,089.56, 259,562.88 and 103,208.04

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Solution

The fourth proportional to 188,089.56, 259,562.88 and 103,208.04 is: 142,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,089.56 : 259,562.88 = 103,208.04 : x
  2. Step 2: Convert to fraction form
    188,089.56/259,562.88 = 103,208.04/x
  3. Step 3: Cross multiply
    188,089.56x = 259,562.88 × 103,208.04
  4. Step 4: Simplify right side
    188,089.56x = 26,788,976,101.56
  5. Step 5: Solve for x
    x = 26,788,976,101.56/188,089.56
  6. Step 6: Final answer
    x = 142,426.70

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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.