Home / 78,542.89-117,738.19-31,142.50

Finding the Fourth Proportional to 78,542.89, 117,738.19 and 31,142.50

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Solution

The fourth proportional to 78,542.89, 117,738.19 and 31,142.50 is: 46,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,542.89 : 117,738.19 = 31,142.50 : x
  2. Step 2: Convert to fraction form
    78,542.89/117,738.19 = 31,142.50/x
  3. Step 3: Cross multiply
    78,542.89x = 117,738.19 × 31,142.50
  4. Step 4: Simplify right side
    78,542.89x = 3,666,661,582.08
  5. Step 5: Solve for x
    x = 3,666,661,582.08/78,542.89
  6. Step 6: Final answer
    x = 46,683.56

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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.