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Finding the Fourth Proportional to 78,941.70, 108,941.09 and 43,133.96

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Solution

The fourth proportional to 78,941.70, 108,941.09 and 43,133.96 is: 59,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,941.70 : 108,941.09 = 43,133.96 : x
  2. Step 2: Convert to fraction form
    78,941.70/108,941.09 = 43,133.96/x
  3. Step 3: Cross multiply
    78,941.70x = 108,941.09 × 43,133.96
  4. Step 4: Simplify right side
    78,941.70x = 4,699,060,675.10
  5. Step 5: Solve for x
    x = 4,699,060,675.10/78,941.70
  6. Step 6: Final answer
    x = 59,525.71

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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.