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Finding the Fourth Proportional to 46,143, 69,226.06 and 13,311

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Solution

The fourth proportional to 46,143, 69,226.06 and 13,311 is: 19,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,143 : 69,226.06 = 13,311 : x
  2. Step 2: Convert to fraction form
    46,143/69,226.06 = 13,311/x
  3. Step 3: Cross multiply
    46,143x = 69,226.06 × 13,311
  4. Step 4: Simplify right side
    46,143x = 921,468,084.66
  5. Step 5: Solve for x
    x = 921,468,084.66/46,143
  6. Step 6: Final answer
    x = 19,969.83

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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.