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Finding the Fourth Proportional to 111,678.21, 154,156.50 and 73,964.61

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Solution

The fourth proportional to 111,678.21, 154,156.50 and 73,964.61 is: 102,098.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,678.21 : 154,156.50 = 73,964.61 : x
  2. Step 2: Convert to fraction form
    111,678.21/154,156.50 = 73,964.61/x
  3. Step 3: Cross multiply
    111,678.21x = 154,156.50 × 73,964.61
  4. Step 4: Simplify right side
    111,678.21x = 11,402,125,401.47
  5. Step 5: Solve for x
    x = 11,402,125,401.47/111,678.21
  6. Step 6: Final answer
    x = 102,098.03

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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.