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Finding the Fourth Proportional to 162,122.56, 223,552.80 and 105,428.80

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Solution

The fourth proportional to 162,122.56, 223,552.80 and 105,428.80 is: 145,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,122.56 : 223,552.80 = 105,428.80 : x
  2. Step 2: Convert to fraction form
    162,122.56/223,552.80 = 105,428.80/x
  3. Step 3: Cross multiply
    162,122.56x = 223,552.80 × 105,428.80
  4. Step 4: Simplify right side
    162,122.56x = 23,568,903,440.64
  5. Step 5: Solve for x
    x = 23,568,903,440.64/162,122.56
  6. Step 6: Final answer
    x = 145,377.07

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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.