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Finding the Fourth Proportional to 205,775, 283,980.53 and 115,125.56

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Solution

The fourth proportional to 205,775, 283,980.53 and 115,125.56 is: 158,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,775 : 283,980.53 = 115,125.56 : x
  2. Step 2: Convert to fraction form
    205,775/283,980.53 = 115,125.56/x
  3. Step 3: Cross multiply
    205,775x = 283,980.53 × 115,125.56
  4. Step 4: Simplify right side
    205,775x = 32,693,417,545.35
  5. Step 5: Solve for x
    x = 32,693,417,545.35/205,775
  6. Step 6: Final answer
    x = 158,879.44

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1.5x scale

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.