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Finding the Fourth Proportional to 225,565.84, 311,131.48 and 145,095.60

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Solution

The fourth proportional to 225,565.84, 311,131.48 and 145,095.60 is: 200,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,565.84 : 311,131.48 = 145,095.60 : x
  2. Step 2: Convert to fraction form
    225,565.84/311,131.48 = 145,095.60/x
  3. Step 3: Cross multiply
    225,565.84x = 311,131.48 × 145,095.60
  4. Step 4: Simplify right side
    225,565.84x = 45,143,808,769.49
  5. Step 5: Solve for x
    x = 45,143,808,769.49/225,565.84
  6. Step 6: Final answer
    x = 200,135.84

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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.