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Finding the Fourth Proportional to 142,361.80, 196,450.84 and 78,695.80

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Solution

The fourth proportional to 142,361.80, 196,450.84 and 78,695.80 is: 108,595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,361.80 : 196,450.84 = 78,695.80 : x
  2. Step 2: Convert to fraction form
    142,361.80/196,450.84 = 78,695.80/x
  3. Step 3: Cross multiply
    142,361.80x = 196,450.84 × 78,695.80
  4. Step 4: Simplify right side
    142,361.80x = 15,459,856,014.47
  5. Step 5: Solve for x
    x = 15,459,856,014.47/142,361.80
  6. Step 6: Final answer
    x = 108,595.54

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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.