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Finding the Fourth Proportional to 200,004.30, 299,945.31 and 105,182.97

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Solution

The fourth proportional to 200,004.30, 299,945.31 and 105,182.97 is: 157,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,004.30 : 299,945.31 = 105,182.97 : x
  2. Step 2: Convert to fraction form
    200,004.30/299,945.31 = 105,182.97/x
  3. Step 3: Cross multiply
    200,004.30x = 299,945.31 × 105,182.97
  4. Step 4: Simplify right side
    200,004.30x = 31,549,138,543.37
  5. Step 5: Solve for x
    x = 31,549,138,543.37/200,004.30
  6. Step 6: Final answer
    x = 157,742.30

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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.