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Finding the Fourth Proportional to 112,275, 154,939.77 and 61,974

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Solution

The fourth proportional to 112,275, 154,939.77 and 61,974 is: 85,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,275 : 154,939.77 = 61,974 : x
  2. Step 2: Convert to fraction form
    112,275/154,939.77 = 61,974/x
  3. Step 3: Cross multiply
    112,275x = 154,939.77 × 61,974
  4. Step 4: Simplify right side
    112,275x = 9,602,237,305.98
  5. Step 5: Solve for x
    x = 9,602,237,305.98/112,275
  6. Step 6: Final answer
    x = 85,524.27

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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.