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Finding the Fourth Proportional to 78,157.93, 117,236.50 and 18,993.77

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Solution

The fourth proportional to 78,157.93, 117,236.50 and 18,993.77 is: 28,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.93 : 117,236.50 = 18,993.77 : x
  2. Step 2: Convert to fraction form
    78,157.93/117,236.50 = 18,993.77/x
  3. Step 3: Cross multiply
    78,157.93x = 117,236.50 × 18,993.77
  4. Step 4: Simplify right side
    78,157.93x = 2,226,763,116.61
  5. Step 5: Solve for x
    x = 2,226,763,116.61/78,157.93
  6. Step 6: Final answer
    x = 28,490.56

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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.