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Finding the Fourth Proportional to 78,611, 108,486.42 and 45,077

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Solution

The fourth proportional to 78,611, 108,486.42 and 45,077 is: 62,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,611 : 108,486.42 = 45,077 : x
  2. Step 2: Convert to fraction form
    78,611/108,486.42 = 45,077/x
  3. Step 3: Cross multiply
    78,611x = 108,486.42 × 45,077
  4. Step 4: Simplify right side
    78,611x = 4,890,242,354.34
  5. Step 5: Solve for x
    x = 4,890,242,354.34/78,611
  6. Step 6: Final answer
    x = 62,208.12

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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.