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Finding the Fourth Proportional to 206,834.96, 310,253.25 and 136,698.68

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Solution

The fourth proportional to 206,834.96, 310,253.25 and 136,698.68 is: 205,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,834.96 : 310,253.25 = 136,698.68 : x
  2. Step 2: Convert to fraction form
    206,834.96/310,253.25 = 136,698.68/x
  3. Step 3: Cross multiply
    206,834.96x = 310,253.25 × 136,698.68
  4. Step 4: Simplify right side
    206,834.96x = 42,411,209,740.71
  5. Step 5: Solve for x
    x = 42,411,209,740.71/206,834.96
  6. Step 6: Final answer
    x = 205,048.56

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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.