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Finding the Fourth Proportional to 100,428.60, 150,639.03 and 30,306

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Solution

The fourth proportional to 100,428.60, 150,639.03 and 30,306 is: 45,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,428.60 : 150,639.03 = 30,306 : x
  2. Step 2: Convert to fraction form
    100,428.60/150,639.03 = 30,306/x
  3. Step 3: Cross multiply
    100,428.60x = 150,639.03 × 30,306
  4. Step 4: Simplify right side
    100,428.60x = 4,565,266,443.18
  5. Step 5: Solve for x
    x = 4,565,266,443.18/100,428.60
  6. Step 6: Final answer
    x = 45,457.83

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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.