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Finding the Fourth Proportional to 100,805.91, 151,134.74 and 34,228.16

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Solution

The fourth proportional to 100,805.91, 151,134.74 and 34,228.16 is: 51,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,805.91 : 151,134.74 = 34,228.16 : x
  2. Step 2: Convert to fraction form
    100,805.91/151,134.74 = 34,228.16/x
  3. Step 3: Cross multiply
    100,805.91x = 151,134.74 × 34,228.16
  4. Step 4: Simplify right side
    100,805.91x = 5,173,064,062.28
  5. Step 5: Solve for x
    x = 5,173,064,062.28/100,805.91
  6. Step 6: Final answer
    x = 51,317.07

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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.