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Finding the Fourth Proportional to 69,142.47, 103,746 and 35,844.39

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Solution

The fourth proportional to 69,142.47, 103,746 and 35,844.39 is: 53,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,142.47 : 103,746 = 35,844.39 : x
  2. Step 2: Convert to fraction form
    69,142.47/103,746 = 35,844.39/x
  3. Step 3: Cross multiply
    69,142.47x = 103,746 × 35,844.39
  4. Step 4: Simplify right side
    69,142.47x = 3,718,712,084.94
  5. Step 5: Solve for x
    x = 3,718,712,084.94/69,142.47
  6. Step 6: Final answer
    x = 53,783.33

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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.