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Finding the Fourth Proportional to 283,109, 424,051 and 133,124.52

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Solution

The fourth proportional to 283,109, 424,051 and 133,124.52 is: 199,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,109 : 424,051 = 133,124.52 : x
  2. Step 2: Convert to fraction form
    283,109/424,051 = 133,124.52/x
  3. Step 3: Cross multiply
    283,109x = 424,051 × 133,124.52
  4. Step 4: Simplify right side
    283,109x = 56,451,585,830.52
  5. Step 5: Solve for x
    x = 56,451,585,830.52/283,109
  6. Step 6: Final answer
    x = 199,398.77

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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.