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Finding the Fourth Proportional to 188,184.49, 259,688.80 and 102,139.40

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Solution

The fourth proportional to 188,184.49, 259,688.80 and 102,139.40 is: 140,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,184.49 : 259,688.80 = 102,139.40 : x
  2. Step 2: Convert to fraction form
    188,184.49/259,688.80 = 102,139.40/x
  3. Step 3: Cross multiply
    188,184.49x = 259,688.80 × 102,139.40
  4. Step 4: Simplify right side
    188,184.49x = 26,524,458,218.72
  5. Step 5: Solve for x
    x = 26,524,458,218.72/188,184.49
  6. Step 6: Final answer
    x = 140,949.23

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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.