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Finding the Fourth Proportional to 188,705.22, 260,409.48 and 103,823.70

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Solution

The fourth proportional to 188,705.22, 260,409.48 and 103,823.70 is: 143,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,705.22 : 260,409.48 = 103,823.70 : x
  2. Step 2: Convert to fraction form
    188,705.22/260,409.48 = 103,823.70/x
  3. Step 3: Cross multiply
    188,705.22x = 260,409.48 × 103,823.70
  4. Step 4: Simplify right side
    188,705.22x = 27,036,675,728.68
  5. Step 5: Solve for x
    x = 27,036,675,728.68/188,705.22
  6. Step 6: Final answer
    x = 143,274.66

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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.