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Finding the Fourth Proportional to 46,644.36, 64,379.16 and 30,730.20

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Solution

The fourth proportional to 46,644.36, 64,379.16 and 30,730.20 is: 42,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,644.36 : 64,379.16 = 30,730.20 : x
  2. Step 2: Convert to fraction form
    46,644.36/64,379.16 = 30,730.20/x
  3. Step 3: Cross multiply
    46,644.36x = 64,379.16 × 30,730.20
  4. Step 4: Simplify right side
    46,644.36x = 1,978,384,462.63
  5. Step 5: Solve for x
    x = 1,978,384,462.63/46,644.36
  6. Step 6: Final answer
    x = 42,414.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.