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Finding the Fourth Proportional to 49,801.40, 74,742.90 and 49,412.60

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Solution

The fourth proportional to 49,801.40, 74,742.90 and 49,412.60 is: 74,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,801.40 : 74,742.90 = 49,412.60 : x
  2. Step 2: Convert to fraction form
    49,801.40/74,742.90 = 49,412.60/x
  3. Step 3: Cross multiply
    49,801.40x = 74,742.90 × 49,412.60
  4. Step 4: Simplify right side
    49,801.40x = 3,693,241,020.54
  5. Step 5: Solve for x
    x = 3,693,241,020.54/49,801.40
  6. Step 6: Final answer
    x = 74,159.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.