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Finding the Fourth Proportional to 187,362, 281,022.30 and 47,120.67

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Solution

The fourth proportional to 187,362, 281,022.30 and 47,120.67 is: 70,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,362 : 281,022.30 = 47,120.67 : x
  2. Step 2: Convert to fraction form
    187,362/281,022.30 = 47,120.67/x
  3. Step 3: Cross multiply
    187,362x = 281,022.30 × 47,120.67
  4. Step 4: Simplify right side
    187,362x = 13,241,959,060.94
  5. Step 5: Solve for x
    x = 13,241,959,060.94/187,362
  6. Step 6: Final answer
    x = 70,675.80

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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.