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Finding the Fourth Proportional to 46,664.60, 69,978.70 and 20,351.40

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Solution

The fourth proportional to 46,664.60, 69,978.70 and 20,351.40 is: 30,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,664.60 : 69,978.70 = 20,351.40 : x
  2. Step 2: Convert to fraction form
    46,664.60/69,978.70 = 20,351.40/x
  3. Step 3: Cross multiply
    46,664.60x = 69,978.70 × 20,351.40
  4. Step 4: Simplify right side
    46,664.60x = 1,424,164,515.18
  5. Step 5: Solve for x
    x = 1,424,164,515.18/46,664.60
  6. Step 6: Final answer
    x = 30,519.16

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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.