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Finding the Fourth Proportional to 206,714,766.48, 310,055,866.92 and 90,127,371.12

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Solution

The fourth proportional to 206,714,766.48, 310,055,866.92 and 90,127,371.12 is: 135,183,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,714,766.48 : 310,055,866.92 = 90,127,371.12 : x
  2. Step 2: Convert to fraction form
    206,714,766.48/310,055,866.92 = 90,127,371.12/x
  3. Step 3: Cross multiply
    206,714,766.48x = 310,055,866.92 × 90,127,371.12
  4. Step 4: Simplify right side
    206,714,766.48x = 27,944,520,185,832,176
  5. Step 5: Solve for x
    x = 27,944,520,185,832,176/206,714,766.48
  6. Step 6: Final answer
    x = 135,183,957.40

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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.