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Finding the Fourth Proportional to 137,735.82, 190,093.95 and 77,309.76

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Solution

The fourth proportional to 137,735.82, 190,093.95 and 77,309.76 is: 106,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,735.82 : 190,093.95 = 77,309.76 : x
  2. Step 2: Convert to fraction form
    137,735.82/190,093.95 = 77,309.76/x
  3. Step 3: Cross multiply
    137,735.82x = 190,093.95 × 77,309.76
  4. Step 4: Simplify right side
    137,735.82x = 14,696,117,651.95
  5. Step 5: Solve for x
    x = 14,696,117,651.95/137,735.82
  6. Step 6: Final answer
    x = 106,697.86

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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.