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Finding the Fourth Proportional to 54,734.40, 82,101.60 and 31,406.40

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Solution

The fourth proportional to 54,734.40, 82,101.60 and 31,406.40 is: 47,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,734.40 : 82,101.60 = 31,406.40 : x
  2. Step 2: Convert to fraction form
    54,734.40/82,101.60 = 31,406.40/x
  3. Step 3: Cross multiply
    54,734.40x = 82,101.60 × 31,406.40
  4. Step 4: Simplify right side
    54,734.40x = 2,578,515,690.24
  5. Step 5: Solve for x
    x = 2,578,515,690.24/54,734.40
  6. Step 6: Final answer
    x = 47,109.60

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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.