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Finding the Fourth Proportional to 209,995.04, 289,896.48 and 145,513.12

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Solution

The fourth proportional to 209,995.04, 289,896.48 and 145,513.12 is: 200,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,995.04 : 289,896.48 = 145,513.12 : x
  2. Step 2: Convert to fraction form
    209,995.04/289,896.48 = 145,513.12/x
  3. Step 3: Cross multiply
    209,995.04x = 289,896.48 × 145,513.12
  4. Step 4: Simplify right side
    209,995.04x = 42,183,741,281.82
  5. Step 5: Solve for x
    x = 42,183,741,281.82/209,995.04
  6. Step 6: Final answer
    x = 200,879.70

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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.