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Finding the Fourth Proportional to 205,988, 309,149.61 and 106,176.74

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Solution

The fourth proportional to 205,988, 309,149.61 and 106,176.74 is: 159,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,988 : 309,149.61 = 106,176.74 : x
  2. Step 2: Convert to fraction form
    205,988/309,149.61 = 106,176.74/x
  3. Step 3: Cross multiply
    205,988x = 309,149.61 × 106,176.74
  4. Step 4: Simplify right side
    205,988x = 32,824,496,216.32
  5. Step 5: Solve for x
    x = 32,824,496,216.32/205,988
  6. Step 6: Final answer
    x = 159,351.50

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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.