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Finding the Fourth Proportional to 78,155.77, 117,261.90 and 30,744.68

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Solution

The fourth proportional to 78,155.77, 117,261.90 and 30,744.68 is: 46,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,155.77 : 117,261.90 = 30,744.68 : x
  2. Step 2: Convert to fraction form
    78,155.77/117,261.90 = 30,744.68/x
  3. Step 3: Cross multiply
    78,155.77x = 117,261.90 × 30,744.68
  4. Step 4: Simplify right side
    78,155.77x = 3,605,179,884.85
  5. Step 5: Solve for x
    x = 3,605,179,884.85/78,155.77
  6. Step 6: Final answer
    x = 46,128.14

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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.