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Finding the Fourth Proportional to 77,213.78, 115,821.89 and 30,466.25

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Solution

The fourth proportional to 77,213.78, 115,821.89 and 30,466.25 is: 45,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,213.78 : 115,821.89 = 30,466.25 : x
  2. Step 2: Convert to fraction form
    77,213.78/115,821.89 = 30,466.25/x
  3. Step 3: Cross multiply
    77,213.78x = 115,821.89 × 30,466.25
  4. Step 4: Simplify right side
    77,213.78x = 3,528,658,656.21
  5. Step 5: Solve for x
    x = 3,528,658,656.21/77,213.78
  6. Step 6: Final answer
    x = 45,699.86

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1.5x scale

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.