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Finding the Fourth Proportional to 100,534.56, 150,804 and 30,413.76

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Solution

The fourth proportional to 100,534.56, 150,804 and 30,413.76 is: 45,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,534.56 : 150,804 = 30,413.76 : x
  2. Step 2: Convert to fraction form
    100,534.56/150,804 = 30,413.76/x
  3. Step 3: Cross multiply
    100,534.56x = 150,804 × 30,413.76
  4. Step 4: Simplify right side
    100,534.56x = 4,586,516,663.04
  5. Step 5: Solve for x
    x = 4,586,516,663.04/100,534.56
  6. Step 6: Final answer
    x = 45,621.29

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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.