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Finding the Fourth Proportional to 188,346.30, 259,933.98 and 106,689.12

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Solution

The fourth proportional to 188,346.30, 259,933.98 and 106,689.12 is: 147,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,346.30 : 259,933.98 = 106,689.12 : x
  2. Step 2: Convert to fraction form
    188,346.30/259,933.98 = 106,689.12/x
  3. Step 3: Cross multiply
    188,346.30x = 259,933.98 × 106,689.12
  4. Step 4: Simplify right side
    188,346.30x = 27,732,127,584.30
  5. Step 5: Solve for x
    x = 27,732,127,584.30/188,346.30
  6. Step 6: Final answer
    x = 147,240.10

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1.5x scale

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.