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Finding the Fourth Proportional to 53,784, 74,231.64 and 31,137.48

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Solution

The fourth proportional to 53,784, 74,231.64 and 31,137.48 is: 42,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784 : 74,231.64 = 31,137.48 : x
  2. Step 2: Convert to fraction form
    53,784/74,231.64 = 31,137.48/x
  3. Step 3: Cross multiply
    53,784x = 74,231.64 × 31,137.48
  4. Step 4: Simplify right side
    53,784x = 2,311,386,205.87
  5. Step 5: Solve for x
    x = 2,311,386,205.87/53,784
  6. Step 6: Final answer
    x = 42,975.35

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Why These Related Problems?

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