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Finding the Fourth Proportional to 78,155.93, 117,233.51 and 18,991.77

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Solution

The fourth proportional to 78,155.93, 117,233.51 and 18,991.77 is: 28,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,155.93 : 117,233.51 = 18,991.77 : x
  2. Step 2: Convert to fraction form
    78,155.93/117,233.51 = 18,991.77/x
  3. Step 3: Cross multiply
    78,155.93x = 117,233.51 × 18,991.77
  4. Step 4: Simplify right side
    78,155.93x = 2,226,471,763.25
  5. Step 5: Solve for x
    x = 2,226,471,763.25/78,155.93
  6. Step 6: Final answer
    x = 28,487.56

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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.