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Finding the Fourth Proportional to 49,095, 73,643.26 and 12,159

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Solution

The fourth proportional to 49,095, 73,643.26 and 12,159 is: 18,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,095 : 73,643.26 = 12,159 : x
  2. Step 2: Convert to fraction form
    49,095/73,643.26 = 12,159/x
  3. Step 3: Cross multiply
    49,095x = 73,643.26 × 12,159
  4. Step 4: Simplify right side
    49,095x = 895,428,398.34
  5. Step 5: Solve for x
    x = 895,428,398.34/49,095
  6. Step 6: Final answer
    x = 18,238.69

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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.