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Finding the Fourth Proportional to 272,728.16, 409,115.58 and 83,231.16

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Solution

The fourth proportional to 272,728.16, 409,115.58 and 83,231.16 is: 124,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,728.16 : 409,115.58 = 83,231.16 : x
  2. Step 2: Convert to fraction form
    272,728.16/409,115.58 = 83,231.16/x
  3. Step 3: Cross multiply
    272,728.16x = 409,115.58 × 83,231.16
  4. Step 4: Simplify right side
    272,728.16x = 34,051,164,297.47
  5. Step 5: Solve for x
    x = 34,051,164,297.47/272,728.16
  6. Step 6: Final answer
    x = 124,853.86

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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.