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Finding the Fourth Proportional to 200,017.72, 275,894.40 and 128,284.12

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Solution

The fourth proportional to 200,017.72, 275,894.40 and 128,284.12 is: 176,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,017.72 : 275,894.40 = 128,284.12 : x
  2. Step 2: Convert to fraction form
    200,017.72/275,894.40 = 128,284.12/x
  3. Step 3: Cross multiply
    200,017.72x = 275,894.40 × 128,284.12
  4. Step 4: Simplify right side
    200,017.72x = 35,392,870,316.93
  5. Step 5: Solve for x
    x = 35,392,870,316.93/200,017.72
  6. Step 6: Final answer
    x = 176,948.67

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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.