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Finding the Fourth Proportional to 78,157.89, 117,393.77 and 46,629.55

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Solution

The fourth proportional to 78,157.89, 117,393.77 and 46,629.55 is: 70,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.89 : 117,393.77 = 46,629.55 : x
  2. Step 2: Convert to fraction form
    78,157.89/117,393.77 = 46,629.55/x
  3. Step 3: Cross multiply
    78,157.89x = 117,393.77 × 46,629.55
  4. Step 4: Simplify right side
    78,157.89x = 5,474,019,063.90
  5. Step 5: Solve for x
    x = 5,474,019,063.90/78,157.89
  6. Step 6: Final answer
    x = 70,037.96

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1.5x scale

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.