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Finding the Fourth Proportional to 280,055.21, 420,085.71 and 69,693.14

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Solution

The fourth proportional to 280,055.21, 420,085.71 and 69,693.14 is: 104,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,055.21 : 420,085.71 = 69,693.14 : x
  2. Step 2: Convert to fraction form
    280,055.21/420,085.71 = 69,693.14/x
  3. Step 3: Cross multiply
    280,055.21x = 420,085.71 × 69,693.14
  4. Step 4: Simplify right side
    280,055.21x = 29,277,093,249.24
  5. Step 5: Solve for x
    x = 29,277,093,249.24/280,055.21
  6. Step 6: Final answer
    x = 104,540.44

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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.