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Finding the Fourth Proportional to 145,523.70, 200,783.25 and 85,109.22

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Solution

The fourth proportional to 145,523.70, 200,783.25 and 85,109.22 is: 117,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,523.70 : 200,783.25 = 85,109.22 : x
  2. Step 2: Convert to fraction form
    145,523.70/200,783.25 = 85,109.22/x
  3. Step 3: Cross multiply
    145,523.70x = 200,783.25 × 85,109.22
  4. Step 4: Simplify right side
    145,523.70x = 17,088,505,796.57
  5. Step 5: Solve for x
    x = 17,088,505,796.57/145,523.70
  6. Step 6: Final answer
    x = 117,427.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.