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Finding the Fourth Proportional to 200,728.68, 301,093.14 and 50,980.20

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Solution

The fourth proportional to 200,728.68, 301,093.14 and 50,980.20 is: 76,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,728.68 : 301,093.14 = 50,980.20 : x
  2. Step 2: Convert to fraction form
    200,728.68/301,093.14 = 50,980.20/x
  3. Step 3: Cross multiply
    200,728.68x = 301,093.14 × 50,980.20
  4. Step 4: Simplify right side
    200,728.68x = 15,349,788,495.83
  5. Step 5: Solve for x
    x = 15,349,788,495.83/200,728.68
  6. Step 6: Final answer
    x = 76,470.33

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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.