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Finding the Fourth Proportional to 111,742.46, 154,102.44 and 83,133.77

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Solution

The fourth proportional to 111,742.46, 154,102.44 and 83,133.77 is: 114,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,742.46 : 154,102.44 = 83,133.77 : x
  2. Step 2: Convert to fraction form
    111,742.46/154,102.44 = 83,133.77/x
  3. Step 3: Cross multiply
    111,742.46x = 154,102.44 × 83,133.77
  4. Step 4: Simplify right side
    111,742.46x = 12,811,116,193.52
  5. Step 5: Solve for x
    x = 12,811,116,193.52/111,742.46
  6. Step 6: Final answer
    x = 114,648.59

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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.