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Finding the Fourth Proportional to 76,978.08, 106,289.82 and 59,044.68

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Solution

The fourth proportional to 76,978.08, 106,289.82 and 59,044.68 is: 81,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,978.08 : 106,289.82 = 59,044.68 : x
  2. Step 2: Convert to fraction form
    76,978.08/106,289.82 = 59,044.68/x
  3. Step 3: Cross multiply
    76,978.08x = 106,289.82 × 59,044.68
  4. Step 4: Simplify right side
    76,978.08x = 6,275,848,409.16
  5. Step 5: Solve for x
    x = 6,275,848,409.16/76,978.08
  6. Step 6: Final answer
    x = 81,527.73

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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.