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Finding the Fourth Proportional to 142,674.89, 196,893.99 and 82,235.32

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Solution

The fourth proportional to 142,674.89, 196,893.99 and 82,235.32 is: 113,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,674.89 : 196,893.99 = 82,235.32 : x
  2. Step 2: Convert to fraction form
    142,674.89/196,893.99 = 82,235.32/x
  3. Step 3: Cross multiply
    142,674.89x = 196,893.99 × 82,235.32
  4. Step 4: Simplify right side
    142,674.89x = 16,191,639,781.49
  5. Step 5: Solve for x
    x = 16,191,639,781.49/142,674.89
  6. Step 6: Final answer
    x = 113,486.26

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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.