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Finding the Fourth Proportional to 46,674.39, 69,978.54 and 21,687.87

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Solution

The fourth proportional to 46,674.39, 69,978.54 and 21,687.87 is: 32,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,674.39 : 69,978.54 = 21,687.87 : x
  2. Step 2: Convert to fraction form
    46,674.39/69,978.54 = 21,687.87/x
  3. Step 3: Cross multiply
    46,674.39x = 69,978.54 × 21,687.87
  4. Step 4: Simplify right side
    46,674.39x = 1,517,685,478.31
  5. Step 5: Solve for x
    x = 1,517,685,478.31/46,674.39
  6. Step 6: Final answer
    x = 32,516.45

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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.