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Finding the Fourth Proportional to 78,548.50, 108,393.66 and 42,738.64

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Solution

The fourth proportional to 78,548.50, 108,393.66 and 42,738.64 is: 58,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,548.50 : 108,393.66 = 42,738.64 : x
  2. Step 2: Convert to fraction form
    78,548.50/108,393.66 = 42,738.64/x
  3. Step 3: Cross multiply
    78,548.50x = 108,393.66 × 42,738.64
  4. Step 4: Simplify right side
    78,548.50x = 4,632,597,613.02
  5. Step 5: Solve for x
    x = 4,632,597,613.02/78,548.50
  6. Step 6: Final answer
    x = 58,977.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.