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Finding the Fourth Proportional to 76,829.72, 106,006.74 and 43,295.72

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Solution

The fourth proportional to 76,829.72, 106,006.74 and 43,295.72 is: 59,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,829.72 : 106,006.74 = 43,295.72 : x
  2. Step 2: Convert to fraction form
    76,829.72/106,006.74 = 43,295.72/x
  3. Step 3: Cross multiply
    76,829.72x = 106,006.74 × 43,295.72
  4. Step 4: Simplify right side
    76,829.72x = 4,589,638,133.15
  5. Step 5: Solve for x
    x = 4,589,638,133.15/76,829.72
  6. Step 6: Final answer
    x = 59,737.80

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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.