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Finding the Fourth Proportional to 200,778.83, 301,018.46 and 120,798.06

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Solution

The fourth proportional to 200,778.83, 301,018.46 and 120,798.06 is: 181,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778.83 : 301,018.46 = 120,798.06 : x
  2. Step 2: Convert to fraction form
    200,778.83/301,018.46 = 120,798.06/x
  3. Step 3: Cross multiply
    200,778.83x = 301,018.46 × 120,798.06
  4. Step 4: Simplify right side
    200,778.83x = 36,362,445,388.20
  5. Step 5: Solve for x
    x = 36,362,445,388.20/200,778.83
  6. Step 6: Final answer
    x = 181,106.97

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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.