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Finding the Fourth Proportional to 285,971.85, 428,678.93 and 136,171.94

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Solution

The fourth proportional to 285,971.85, 428,678.93 and 136,171.94 is: 204,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,971.85 : 428,678.93 = 136,171.94 : x
  2. Step 2: Convert to fraction form
    285,971.85/428,678.93 = 136,171.94/x
  3. Step 3: Cross multiply
    285,971.85x = 428,678.93 × 136,171.94
  4. Step 4: Simplify right side
    285,971.85x = 58,374,039,732.26
  5. Step 5: Solve for x
    x = 58,374,039,732.26/285,971.85
  6. Step 6: Final answer
    x = 204,125.13

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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.