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Finding the Fourth Proportional to 206,180.48, 309,080.40 and 143,030.40

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Solution

The fourth proportional to 206,180.48, 309,080.40 and 143,030.40 is: 214,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,180.48 : 309,080.40 = 143,030.40 : x
  2. Step 2: Convert to fraction form
    206,180.48/309,080.40 = 143,030.40/x
  3. Step 3: Cross multiply
    206,180.48x = 309,080.40 × 143,030.40
  4. Step 4: Simplify right side
    206,180.48x = 44,207,893,244.16
  5. Step 5: Solve for x
    x = 44,207,893,244.16/206,180.48
  6. Step 6: Final answer
    x = 214,413.57

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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.