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Finding the Fourth Proportional to 112,105, 154,715.84 and 61,804

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Solution

The fourth proportional to 112,105, 154,715.84 and 61,804 is: 85,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,105 : 154,715.84 = 61,804 : x
  2. Step 2: Convert to fraction form
    112,105/154,715.84 = 61,804/x
  3. Step 3: Cross multiply
    112,105x = 154,715.84 × 61,804
  4. Step 4: Simplify right side
    112,105x = 9,562,057,775.36
  5. Step 5: Solve for x
    x = 9,562,057,775.36/112,105
  6. Step 6: Final answer
    x = 85,295.55

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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.