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Finding the Fourth Proportional to 188,706, 260,414.28 and 103,826.10

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Solution

The fourth proportional to 188,706, 260,414.28 and 103,826.10 is: 143,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,706 : 260,414.28 = 103,826.10 : x
  2. Step 2: Convert to fraction form
    188,706/260,414.28 = 103,826.10/x
  3. Step 3: Cross multiply
    188,706x = 260,414.28 × 103,826.10
  4. Step 4: Simplify right side
    188,706x = 27,037,799,076.71
  5. Step 5: Solve for x
    x = 27,037,799,076.71/188,706
  6. Step 6: Final answer
    x = 143,280.02

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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.