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Finding the Fourth Proportional to 205,794.90, 308,519.55 and 107,298.90

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Solution

The fourth proportional to 205,794.90, 308,519.55 and 107,298.90 is: 160,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,794.90 : 308,519.55 = 107,298.90 : x
  2. Step 2: Convert to fraction form
    205,794.90/308,519.55 = 107,298.90/x
  3. Step 3: Cross multiply
    205,794.90x = 308,519.55 × 107,298.90
  4. Step 4: Simplify right side
    205,794.90x = 33,103,808,343.50
  5. Step 5: Solve for x
    x = 33,103,808,343.50/205,794.90
  6. Step 6: Final answer
    x = 160,858.25

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1.5x scale

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.