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Finding the Fourth Proportional to 103,174.40, 142,247.40 and 66,811.20

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Solution

The fourth proportional to 103,174.40, 142,247.40 and 66,811.20 is: 92,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,174.40 : 142,247.40 = 66,811.20 : x
  2. Step 2: Convert to fraction form
    103,174.40/142,247.40 = 66,811.20/x
  3. Step 3: Cross multiply
    103,174.40x = 142,247.40 × 66,811.20
  4. Step 4: Simplify right side
    103,174.40x = 9,503,719,490.88
  5. Step 5: Solve for x
    x = 9,503,719,490.88/103,174.40
  6. Step 6: Final answer
    x = 92,113.15

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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.