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Finding the Fourth Proportional to 188,449.76, 260,061.71 and 102,409.45

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Solution

The fourth proportional to 188,449.76, 260,061.71 and 102,409.45 is: 141,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,449.76 : 260,061.71 = 102,409.45 : x
  2. Step 2: Convert to fraction form
    188,449.76/260,061.71 = 102,409.45/x
  3. Step 3: Cross multiply
    188,449.76x = 260,061.71 × 102,409.45
  4. Step 4: Simplify right side
    188,449.76x = 26,632,775,524.96
  5. Step 5: Solve for x
    x = 26,632,775,524.96/188,449.76
  6. Step 6: Final answer
    x = 141,325.60

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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.