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Finding the Fourth Proportional to 140,884.96, 194,422.32 and 77,228.32

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Solution

The fourth proportional to 140,884.96, 194,422.32 and 77,228.32 is: 106,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,884.96 : 194,422.32 = 77,228.32 : x
  2. Step 2: Convert to fraction form
    140,884.96/194,422.32 = 77,228.32/x
  3. Step 3: Cross multiply
    140,884.96x = 194,422.32 × 77,228.32
  4. Step 4: Simplify right side
    140,884.96x = 15,014,909,144.10
  5. Step 5: Solve for x
    x = 15,014,909,144.10/140,884.96
  6. Step 6: Final answer
    x = 106,575.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.