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Finding the Fourth Proportional to 53,830.74, 74,209.43 and 37,865.64

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Solution

The fourth proportional to 53,830.74, 74,209.43 and 37,865.64 is: 52,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830.74 : 74,209.43 = 37,865.64 : x
  2. Step 2: Convert to fraction form
    53,830.74/74,209.43 = 37,865.64/x
  3. Step 3: Cross multiply
    53,830.74x = 74,209.43 × 37,865.64
  4. Step 4: Simplify right side
    53,830.74x = 2,809,987,189.94
  5. Step 5: Solve for x
    x = 2,809,987,189.94/53,830.74
  6. Step 6: Final answer
    x = 52,200.42

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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.