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Finding the Fourth Proportional to 69,464.64, 104,071.68 and 42,764.16

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Solution

The fourth proportional to 69,464.64, 104,071.68 and 42,764.16 is: 64,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,464.64 : 104,071.68 = 42,764.16 : x
  2. Step 2: Convert to fraction form
    69,464.64/104,071.68 = 42,764.16/x
  3. Step 3: Cross multiply
    69,464.64x = 104,071.68 × 42,764.16
  4. Step 4: Simplify right side
    69,464.64x = 4,450,537,974.99
  5. Step 5: Solve for x
    x = 4,450,537,974.99/69,464.64
  6. Step 6: Final answer
    x = 64,069.11

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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.