Home / 78,270.72-117,409.32-31,524

Finding the Fourth Proportional to 78,270.72, 117,409.32 and 31,524

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Solution

The fourth proportional to 78,270.72, 117,409.32 and 31,524 is: 47,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,270.72 : 117,409.32 = 31,524 : x
  2. Step 2: Convert to fraction form
    78,270.72/117,409.32 = 31,524/x
  3. Step 3: Cross multiply
    78,270.72x = 117,409.32 × 31,524
  4. Step 4: Simplify right side
    78,270.72x = 3,701,211,403.68
  5. Step 5: Solve for x
    x = 3,701,211,403.68/78,270.72
  6. Step 6: Final answer
    x = 47,287.30

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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.