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Finding the Fourth Proportional to 144,716.80, 217,334.40 and 105,318.40

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Solution

The fourth proportional to 144,716.80, 217,334.40 and 105,318.40 is: 158,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,716.80 : 217,334.40 = 105,318.40 : x
  2. Step 2: Convert to fraction form
    144,716.80/217,334.40 = 105,318.40/x
  3. Step 3: Cross multiply
    144,716.80x = 217,334.40 × 105,318.40
  4. Step 4: Simplify right side
    144,716.80x = 22,889,311,272.96
  5. Step 5: Solve for x
    x = 22,889,311,272.96/144,716.80
  6. Step 6: Final answer
    x = 158,166.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.