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Finding the Fourth Proportional to 137,896.60, 190,290.90 and 76,639.94

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Solution

The fourth proportional to 137,896.60, 190,290.90 and 76,639.94 is: 105,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,896.60 : 190,290.90 = 76,639.94 : x
  2. Step 2: Convert to fraction form
    137,896.60/190,290.90 = 76,639.94/x
  3. Step 3: Cross multiply
    137,896.60x = 190,290.90 × 76,639.94
  4. Step 4: Simplify right side
    137,896.60x = 14,583,883,158.55
  5. Step 5: Solve for x
    x = 14,583,883,158.55/137,896.60
  6. Step 6: Final answer
    x = 105,759.56

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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.