Home / 78,154.14-117,236.60-31,407

Finding the Fourth Proportional to 78,154.14, 117,236.60 and 31,407

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Solution

The fourth proportional to 78,154.14, 117,236.60 and 31,407 is: 47,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,154.14 : 117,236.60 = 31,407 : x
  2. Step 2: Convert to fraction form
    78,154.14/117,236.60 = 31,407/x
  3. Step 3: Cross multiply
    78,154.14x = 117,236.60 × 31,407
  4. Step 4: Simplify right side
    78,154.14x = 3,682,049,896.20
  5. Step 5: Solve for x
    x = 3,682,049,896.20/78,154.14
  6. Step 6: Final answer
    x = 47,112.67

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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.