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Finding the Fourth Proportional to 230,413.57, 345,775.97 and 80,655.10

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Solution

The fourth proportional to 230,413.57, 345,775.97 and 80,655.10 is: 121,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,413.57 : 345,775.97 = 80,655.10 : x
  2. Step 2: Convert to fraction form
    230,413.57/345,775.97 = 80,655.10/x
  3. Step 3: Cross multiply
    230,413.57x = 345,775.97 × 80,655.10
  4. Step 4: Simplify right side
    230,413.57x = 27,888,595,437.95
  5. Step 5: Solve for x
    x = 27,888,595,437.95/230,413.57
  6. Step 6: Final answer
    x = 121,037.12

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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.