Home / 205,769.56-284,021.76-119,748.64

Finding the Fourth Proportional to 205,769.56, 284,021.76 and 119,748.64

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Solution

The fourth proportional to 205,769.56, 284,021.76 and 119,748.64 is: 165,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,769.56 : 284,021.76 = 119,748.64 : x
  2. Step 2: Convert to fraction form
    205,769.56/284,021.76 = 119,748.64/x
  3. Step 3: Cross multiply
    205,769.56x = 284,021.76 × 119,748.64
  4. Step 4: Simplify right side
    205,769.56x = 34,011,219,490.41
  5. Step 5: Solve for x
    x = 34,011,219,490.41/205,769.56
  6. Step 6: Final answer
    x = 165,287.91

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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.