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Finding the Fourth Proportional to 285,252.54, 427,645.53 and 107,658.42

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Solution

The fourth proportional to 285,252.54, 427,645.53 and 107,658.42 is: 161,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,252.54 : 427,645.53 = 107,658.42 : x
  2. Step 2: Convert to fraction form
    285,252.54/427,645.53 = 107,658.42/x
  3. Step 3: Cross multiply
    285,252.54x = 427,645.53 × 107,658.42
  4. Step 4: Simplify right side
    285,252.54x = 46,039,642,079.86
  5. Step 5: Solve for x
    x = 46,039,642,079.86/285,252.54
  6. Step 6: Final answer
    x = 161,399.59

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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.