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Finding the Fourth Proportional to 143,354.53, 197,870.48 and 82,965.99

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Solution

The fourth proportional to 143,354.53, 197,870.48 and 82,965.99 is: 114,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,354.53 : 197,870.48 = 82,965.99 : x
  2. Step 2: Convert to fraction form
    143,354.53/197,870.48 = 82,965.99/x
  3. Step 3: Cross multiply
    143,354.53x = 197,870.48 × 82,965.99
  4. Step 4: Simplify right side
    143,354.53x = 16,416,519,790.26
  5. Step 5: Solve for x
    x = 16,416,519,790.26/143,354.53
  6. Step 6: Final answer
    x = 114,516.93

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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.