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Finding the Fourth Proportional to 78,129.86, 107,789.46 and 57,760.86

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Solution

The fourth proportional to 78,129.86, 107,789.46 and 57,760.86 is: 79,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,129.86 : 107,789.46 = 57,760.86 : x
  2. Step 2: Convert to fraction form
    78,129.86/107,789.46 = 57,760.86/x
  3. Step 3: Cross multiply
    78,129.86x = 107,789.46 × 57,760.86
  4. Step 4: Simplify right side
    78,129.86x = 6,226,011,908.54
  5. Step 5: Solve for x
    x = 6,226,011,908.54/78,129.86
  6. Step 6: Final answer
    x = 79,688.00

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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.