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Finding the Fourth Proportional to 87,014, 120,079.44 and 47,270

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Solution

The fourth proportional to 87,014, 120,079.44 and 47,270 is: 65,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,014 : 120,079.44 = 47,270 : x
  2. Step 2: Convert to fraction form
    87,014/120,079.44 = 47,270/x
  3. Step 3: Cross multiply
    87,014x = 120,079.44 × 47,270
  4. Step 4: Simplify right side
    87,014x = 5,676,155,128.80
  5. Step 5: Solve for x
    x = 5,676,155,128.80/87,014
  6. Step 6: Final answer
    x = 65,232.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.