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Finding the Fourth Proportional to 188,702.36, 260,411.31 and 102,661.82

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Solution

The fourth proportional to 188,702.36, 260,411.31 and 102,661.82 is: 141,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,702.36 : 260,411.31 = 102,661.82 : x
  2. Step 2: Convert to fraction form
    188,702.36/260,411.31 = 102,661.82/x
  3. Step 3: Cross multiply
    188,702.36x = 260,411.31 × 102,661.82
  4. Step 4: Simplify right side
    188,702.36x = 26,734,299,684.21
  5. Step 5: Solve for x
    x = 26,734,299,684.21/188,702.36
  6. Step 6: Final answer
    x = 141,674.44

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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.