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Finding the Fourth Proportional to 100,283.67, 150,409.71 and 30,146.58

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Solution

The fourth proportional to 100,283.67, 150,409.71 and 30,146.58 is: 45,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,283.67 : 150,409.71 = 30,146.58 : x
  2. Step 2: Convert to fraction form
    100,283.67/150,409.71 = 30,146.58/x
  3. Step 3: Cross multiply
    100,283.67x = 150,409.71 × 30,146.58
  4. Step 4: Simplify right side
    100,283.67x = 4,534,338,355.29
  5. Step 5: Solve for x
    x = 4,534,338,355.29/100,283.67
  6. Step 6: Final answer
    x = 45,215.12

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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.