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Finding the Fourth Proportional to 205,714.38, 308,571.58 and 87,302.70

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Solution

The fourth proportional to 205,714.38, 308,571.58 and 87,302.70 is: 130,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,714.38 : 308,571.58 = 87,302.70 : x
  2. Step 2: Convert to fraction form
    205,714.38/308,571.58 = 87,302.70/x
  3. Step 3: Cross multiply
    205,714.38x = 308,571.58 × 87,302.70
  4. Step 4: Simplify right side
    205,714.38x = 26,939,132,077.27
  5. Step 5: Solve for x
    x = 26,939,132,077.27/205,714.38
  6. Step 6: Final answer
    x = 130,954.05

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1.5x scale

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.