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Finding the Fourth Proportional to 78,046.52, 107,750.60 and 51,235.92

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Solution

The fourth proportional to 78,046.52, 107,750.60 and 51,235.92 is: 70,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,046.52 : 107,750.60 = 51,235.92 : x
  2. Step 2: Convert to fraction form
    78,046.52/107,750.60 = 51,235.92/x
  3. Step 3: Cross multiply
    78,046.52x = 107,750.60 × 51,235.92
  4. Step 4: Simplify right side
    78,046.52x = 5,520,700,865.37
  5. Step 5: Solve for x
    x = 5,520,700,865.37/78,046.52
  6. Step 6: Final answer
    x = 70,736.03

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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.