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Finding the Fourth Proportional to 80,030, 109,640.70 and 77,039.60

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Solution

The fourth proportional to 80,030, 109,640.70 and 77,039.60 is: 105,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,030 : 109,640.70 = 77,039.60 : x
  2. Step 2: Convert to fraction form
    80,030/109,640.70 = 77,039.60/x
  3. Step 3: Cross multiply
    80,030x = 109,640.70 × 77,039.60
  4. Step 4: Simplify right side
    80,030x = 8,446,675,671.72
  5. Step 5: Solve for x
    x = 8,446,675,671.72/80,030
  6. Step 6: Final answer
    x = 105,543.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.