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Finding the Fourth Proportional to 200,055.12, 300,201.12 and 73,783.68

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Solution

The fourth proportional to 200,055.12, 300,201.12 and 73,783.68 is: 110,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,055.12 : 300,201.12 = 73,783.68 : x
  2. Step 2: Convert to fraction form
    200,055.12/300,201.12 = 73,783.68/x
  3. Step 3: Cross multiply
    200,055.12x = 300,201.12 × 73,783.68
  4. Step 4: Simplify right side
    200,055.12x = 22,149,943,373.72
  5. Step 5: Solve for x
    x = 22,149,943,373.72/200,055.12
  6. Step 6: Final answer
    x = 110,719.20

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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.