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Finding the Fourth Proportional to 219,090.92, 328,632.94 and 112,413.32

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Solution

The fourth proportional to 219,090.92, 328,632.94 and 112,413.32 is: 168,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,090.92 : 328,632.94 = 112,413.32 : x
  2. Step 2: Convert to fraction form
    219,090.92/328,632.94 = 112,413.32/x
  3. Step 3: Cross multiply
    219,090.92x = 328,632.94 × 112,413.32
  4. Step 4: Simplify right side
    219,090.92x = 36,942,719,846.76
  5. Step 5: Solve for x
    x = 36,942,719,846.76/219,090.92
  6. Step 6: Final answer
    x = 168,618.21

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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.