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Finding the Fourth Proportional to 448,061, 672,083 and 111,102.64

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Solution

The fourth proportional to 448,061, 672,083 and 111,102.64 is: 166,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,061 : 672,083 = 111,102.64 : x
  2. Step 2: Convert to fraction form
    448,061/672,083 = 111,102.64/x
  3. Step 3: Cross multiply
    448,061x = 672,083 × 111,102.64
  4. Step 4: Simplify right side
    448,061x = 74,670,195,599.12
  5. Step 5: Solve for x
    x = 74,670,195,599.12/448,061
  6. Step 6: Final answer
    x = 166,651.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.