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Finding the Fourth Proportional to 45,802.78, 68,730.17 and 19,504.78

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Solution

The fourth proportional to 45,802.78, 68,730.17 and 19,504.78 is: 29,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,802.78 : 68,730.17 = 19,504.78 : x
  2. Step 2: Convert to fraction form
    45,802.78/68,730.17 = 19,504.78/x
  3. Step 3: Cross multiply
    45,802.78x = 68,730.17 × 19,504.78
  4. Step 4: Simplify right side
    45,802.78x = 1,340,566,845.21
  5. Step 5: Solve for x
    x = 1,340,566,845.21/45,802.78
  6. Step 6: Final answer
    x = 29,268.24

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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.