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Finding the Fourth Proportional to 100,166.40, 150,230.43 and 30,045.60

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Solution

The fourth proportional to 100,166.40, 150,230.43 and 30,045.60 is: 45,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,166.40 : 150,230.43 = 30,045.60 : x
  2. Step 2: Convert to fraction form
    100,166.40/150,230.43 = 30,045.60/x
  3. Step 3: Cross multiply
    100,166.40x = 150,230.43 × 30,045.60
  4. Step 4: Simplify right side
    100,166.40x = 4,513,763,407.61
  5. Step 5: Solve for x
    x = 4,513,763,407.61/100,166.40
  6. Step 6: Final answer
    x = 45,062.65

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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.