Home / 206,089.22-284,406.08-120,046

Finding the Fourth Proportional to 206,089.22, 284,406.08 and 120,046

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Solution

The fourth proportional to 206,089.22, 284,406.08 and 120,046 is: 165,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,089.22 : 284,406.08 = 120,046 : x
  2. Step 2: Convert to fraction form
    206,089.22/284,406.08 = 120,046/x
  3. Step 3: Cross multiply
    206,089.22x = 284,406.08 × 120,046
  4. Step 4: Simplify right side
    206,089.22x = 34,141,812,279.68
  5. Step 5: Solve for x
    x = 34,141,812,279.68/206,089.22
  6. Step 6: Final answer
    x = 165,665.20

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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.