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Finding the Fourth Proportional to 206,714,764.48, 310,055,863.92 and 90,127,369.12

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Solution

The fourth proportional to 206,714,764.48, 310,055,863.92 and 90,127,369.12 is: 135,183,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,714,764.48 : 310,055,863.92 = 90,127,369.12 : x
  2. Step 2: Convert to fraction form
    206,714,764.48/310,055,863.92 = 90,127,369.12/x
  3. Step 3: Cross multiply
    206,714,764.48x = 310,055,863.92 × 90,127,369.12
  4. Step 4: Simplify right side
    206,714,764.48x = 27,944,519,295,338,332
  5. Step 5: Solve for x
    x = 27,944,519,295,338,332/206,714,764.48
  6. Step 6: Final answer
    x = 135,183,954.40

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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.