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Finding the Fourth Proportional to 238,311.75, 357,374.16 and 86,472.75

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Solution

The fourth proportional to 238,311.75, 357,374.16 and 86,472.75 is: 129,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,311.75 : 357,374.16 = 86,472.75 : x
  2. Step 2: Convert to fraction form
    238,311.75/357,374.16 = 86,472.75/x
  3. Step 3: Cross multiply
    238,311.75x = 357,374.16 × 86,472.75
  4. Step 4: Simplify right side
    238,311.75x = 30,903,126,394.14
  5. Step 5: Solve for x
    x = 30,903,126,394.14/238,311.75
  6. Step 6: Final answer
    x = 129,675.21

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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.