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Finding the Fourth Proportional to 188,210.64, 282,066.77 and 138,055.90

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Solution

The fourth proportional to 188,210.64, 282,066.77 and 138,055.90 is: 206,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,210.64 : 282,066.77 = 138,055.90 : x
  2. Step 2: Convert to fraction form
    188,210.64/282,066.77 = 138,055.90/x
  3. Step 3: Cross multiply
    188,210.64x = 282,066.77 × 138,055.90
  4. Step 4: Simplify right side
    188,210.64x = 38,940,981,792.44
  5. Step 5: Solve for x
    x = 38,940,981,792.44/188,210.64
  6. Step 6: Final answer
    x = 206,901.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.