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Finding the Fourth Proportional to 187,364, 281,025.30 and 47,122.68

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Solution

The fourth proportional to 187,364, 281,025.30 and 47,122.68 is: 70,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,364 : 281,025.30 = 47,122.68 : x
  2. Step 2: Convert to fraction form
    187,364/281,025.30 = 47,122.68/x
  3. Step 3: Cross multiply
    187,364x = 281,025.30 × 47,122.68
  4. Step 4: Simplify right side
    187,364x = 13,242,665,283.80
  5. Step 5: Solve for x
    x = 13,242,665,283.80/187,364
  6. Step 6: Final answer
    x = 70,678.81

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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.