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Finding the Fourth Proportional to 112,409.82, 154,945.35 and 76,099.82

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Solution

The fourth proportional to 112,409.82, 154,945.35 and 76,099.82 is: 104,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,409.82 : 154,945.35 = 76,099.82 : x
  2. Step 2: Convert to fraction form
    112,409.82/154,945.35 = 76,099.82/x
  3. Step 3: Cross multiply
    112,409.82x = 154,945.35 × 76,099.82
  4. Step 4: Simplify right side
    112,409.82x = 11,791,312,470.11
  5. Step 5: Solve for x
    x = 11,791,312,470.11/112,409.82
  6. Step 6: Final answer
    x = 104,895.75

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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.