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Finding the Fourth Proportional to 205,707.78, 283,902.99 and 115,068.78

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Solution

The fourth proportional to 205,707.78, 283,902.99 and 115,068.78 is: 158,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,707.78 : 283,902.99 = 115,068.78 : x
  2. Step 2: Convert to fraction form
    205,707.78/283,902.99 = 115,068.78/x
  3. Step 3: Cross multiply
    205,707.78x = 283,902.99 × 115,068.78
  4. Step 4: Simplify right side
    205,707.78x = 32,668,370,697.65
  5. Step 5: Solve for x
    x = 32,668,370,697.65/205,707.78
  6. Step 6: Final answer
    x = 158,809.60

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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.