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Finding the Fourth Proportional to 78,043.02, 107,745.76 and 51,232.42

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Solution

The fourth proportional to 78,043.02, 107,745.76 and 51,232.42 is: 70,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,043.02 : 107,745.76 = 51,232.42 : x
  2. Step 2: Convert to fraction form
    78,043.02/107,745.76 = 51,232.42/x
  3. Step 3: Cross multiply
    78,043.02x = 107,745.76 × 51,232.42
  4. Step 4: Simplify right side
    78,043.02x = 5,520,076,029.54
  5. Step 5: Solve for x
    x = 5,520,076,029.54/78,043.02
  6. Step 6: Final answer
    x = 70,731.19

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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.