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Finding the Fourth Proportional to 70,523.08, 105,781.74 and 28,969

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Solution

The fourth proportional to 70,523.08, 105,781.74 and 28,969 is: 43,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,523.08 : 105,781.74 = 28,969 : x
  2. Step 2: Convert to fraction form
    70,523.08/105,781.74 = 28,969/x
  3. Step 3: Cross multiply
    70,523.08x = 105,781.74 × 28,969
  4. Step 4: Simplify right side
    70,523.08x = 3,064,391,226.06
  5. Step 5: Solve for x
    x = 3,064,391,226.06/70,523.08
  6. Step 6: Final answer
    x = 43,452.32

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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.