Home / 205,931.50-284,190.21-115,285.18

Finding the Fourth Proportional to 205,931.50, 284,190.21 and 115,285.18

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Solution

The fourth proportional to 205,931.50, 284,190.21 and 115,285.18 is: 159,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,931.50 : 284,190.21 = 115,285.18 : x
  2. Step 2: Convert to fraction form
    205,931.50/284,190.21 = 115,285.18/x
  3. Step 3: Cross multiply
    205,931.50x = 284,190.21 × 115,285.18
  4. Step 4: Simplify right side
    205,931.50x = 32,762,919,514.09
  5. Step 5: Solve for x
    x = 32,762,919,514.09/205,931.50
  6. Step 6: Final answer
    x = 159,096.20

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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.