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Finding the Fourth Proportional to 205,043.60, 307,795.80 and 158,502.80

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Solution

The fourth proportional to 205,043.60, 307,795.80 and 158,502.80 is: 237,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,043.60 : 307,795.80 = 158,502.80 : x
  2. Step 2: Convert to fraction form
    205,043.60/307,795.80 = 158,502.80/x
  3. Step 3: Cross multiply
    205,043.60x = 307,795.80 × 158,502.80
  4. Step 4: Simplify right side
    205,043.60x = 48,786,496,128.24
  5. Step 5: Solve for x
    x = 48,786,496,128.24/205,043.60
  6. Step 6: Final answer
    x = 237,932.30

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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.