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Finding the Fourth Proportional to 200,023.40, 275,807.81 and 127,311.12

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Solution

The fourth proportional to 200,023.40, 275,807.81 and 127,311.12 is: 175,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,023.40 : 275,807.81 = 127,311.12 : x
  2. Step 2: Convert to fraction form
    200,023.40/275,807.81 = 127,311.12/x
  3. Step 3: Cross multiply
    200,023.40x = 275,807.81 × 127,311.12
  4. Step 4: Simplify right side
    200,023.40x = 35,113,400,559.29
  5. Step 5: Solve for x
    x = 35,113,400,559.29/200,023.40
  6. Step 6: Final answer
    x = 175,546.47

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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.