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Finding the Fourth Proportional to 203,295, 280,547.12 and 123,807

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Solution

The fourth proportional to 203,295, 280,547.12 and 123,807 is: 170,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,295 : 280,547.12 = 123,807 : x
  2. Step 2: Convert to fraction form
    203,295/280,547.12 = 123,807/x
  3. Step 3: Cross multiply
    203,295x = 280,547.12 × 123,807
  4. Step 4: Simplify right side
    203,295x = 34,733,697,285.84
  5. Step 5: Solve for x
    x = 34,733,697,285.84/203,295
  6. Step 6: Final answer
    x = 170,853.67

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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.