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Finding the Fourth Proportional to 144,954.96, 200,037.45 and 81,294.12

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Solution

The fourth proportional to 144,954.96, 200,037.45 and 81,294.12 is: 112,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,954.96 : 200,037.45 = 81,294.12 : x
  2. Step 2: Convert to fraction form
    144,954.96/200,037.45 = 81,294.12/x
  3. Step 3: Cross multiply
    144,954.96x = 200,037.45 × 81,294.12
  4. Step 4: Simplify right side
    144,954.96x = 16,261,868,464.79
  5. Step 5: Solve for x
    x = 16,261,868,464.79/144,954.96
  6. Step 6: Final answer
    x = 112,185.66

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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.