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Finding the Fourth Proportional to 138,863.40, 191,631.52 and 75,201.20

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Solution

The fourth proportional to 138,863.40, 191,631.52 and 75,201.20 is: 103,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,863.40 : 191,631.52 = 75,201.20 : x
  2. Step 2: Convert to fraction form
    138,863.40/191,631.52 = 75,201.20/x
  3. Step 3: Cross multiply
    138,863.40x = 191,631.52 × 75,201.20
  4. Step 4: Simplify right side
    138,863.40x = 14,410,920,261.82
  5. Step 5: Solve for x
    x = 14,410,920,261.82/138,863.40
  6. Step 6: Final answer
    x = 103,777.67

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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.