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Finding the Fourth Proportional to 74,081.80, 111,122.70 and 47,643.40

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Solution

The fourth proportional to 74,081.80, 111,122.70 and 47,643.40 is: 71,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,081.80 : 111,122.70 = 47,643.40 : x
  2. Step 2: Convert to fraction form
    74,081.80/111,122.70 = 47,643.40/x
  3. Step 3: Cross multiply
    74,081.80x = 111,122.70 × 47,643.40
  4. Step 4: Simplify right side
    74,081.80x = 5,294,263,245.18
  5. Step 5: Solve for x
    x = 5,294,263,245.18/74,081.80
  6. Step 6: Final answer
    x = 71,465.10

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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.