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Finding the Fourth Proportional to 200,024.85, 275,904.22 and 128,291.25

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Solution

The fourth proportional to 200,024.85, 275,904.22 and 128,291.25 is: 176,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,024.85 : 275,904.22 = 128,291.25 : x
  2. Step 2: Convert to fraction form
    200,024.85/275,904.22 = 128,291.25/x
  3. Step 3: Cross multiply
    200,024.85x = 275,904.22 × 128,291.25
  4. Step 4: Simplify right side
    200,024.85x = 35,396,097,264.08
  5. Step 5: Solve for x
    x = 35,396,097,264.08/200,024.85
  6. Step 6: Final answer
    x = 176,958.50

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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.