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Finding the Fourth Proportional to 45,978.40, 68,850.48 and 30,348.32

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Solution

The fourth proportional to 45,978.40, 68,850.48 and 30,348.32 is: 45,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,978.40 : 68,850.48 = 30,348.32 : x
  2. Step 2: Convert to fraction form
    45,978.40/68,850.48 = 30,348.32/x
  3. Step 3: Cross multiply
    45,978.40x = 68,850.48 × 30,348.32
  4. Step 4: Simplify right side
    45,978.40x = 2,089,496,399.19
  5. Step 5: Solve for x
    x = 2,089,496,399.19/45,978.40
  6. Step 6: Final answer
    x = 45,445.17

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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.