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Finding the Fourth Proportional to 187,363, 281,023.80 and 47,121.67

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Solution

The fourth proportional to 187,363, 281,023.80 and 47,121.67 is: 70,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,363 : 281,023.80 = 47,121.67 : x
  2. Step 2: Convert to fraction form
    187,363/281,023.80 = 47,121.67/x
  3. Step 3: Cross multiply
    187,363x = 281,023.80 × 47,121.67
  4. Step 4: Simplify right side
    187,363x = 13,242,310,765.75
  5. Step 5: Solve for x
    x = 13,242,310,765.75/187,363
  6. Step 6: Final answer
    x = 70,677.30

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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.