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Finding the Fourth Proportional to 49,338.81, 74,012.88 and 13,800.13

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Solution

The fourth proportional to 49,338.81, 74,012.88 and 13,800.13 is: 20,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,338.81 : 74,012.88 = 13,800.13 : x
  2. Step 2: Convert to fraction form
    49,338.81/74,012.88 = 13,800.13/x
  3. Step 3: Cross multiply
    49,338.81x = 74,012.88 × 13,800.13
  4. Step 4: Simplify right side
    49,338.81x = 1,021,387,365.67
  5. Step 5: Solve for x
    x = 1,021,387,365.67/49,338.81
  6. Step 6: Final answer
    x = 20,701.50

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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.