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Finding the Fourth Proportional to 76,909.68, 106,138.08 and 45,076.68

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Solution

The fourth proportional to 76,909.68, 106,138.08 and 45,076.68 is: 62,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,909.68 : 106,138.08 = 45,076.68 : x
  2. Step 2: Convert to fraction form
    76,909.68/106,138.08 = 45,076.68/x
  3. Step 3: Cross multiply
    76,909.68x = 106,138.08 × 45,076.68
  4. Step 4: Simplify right side
    76,909.68x = 4,784,352,267.97
  5. Step 5: Solve for x
    x = 4,784,352,267.97/76,909.68
  6. Step 6: Final answer
    x = 62,207.41

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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.