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Finding the Fourth Proportional to 78,574.48, 117,861.72 and 23,157.52

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Solution

The fourth proportional to 78,574.48, 117,861.72 and 23,157.52 is: 34,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,574.48 : 117,861.72 = 23,157.52 : x
  2. Step 2: Convert to fraction form
    78,574.48/117,861.72 = 23,157.52/x
  3. Step 3: Cross multiply
    78,574.48x = 117,861.72 × 23,157.52
  4. Step 4: Simplify right side
    78,574.48x = 2,729,385,138.13
  5. Step 5: Solve for x
    x = 2,729,385,138.13/78,574.48
  6. Step 6: Final answer
    x = 34,736.28

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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.