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Finding the Fourth Proportional to 225,693.10, 311,555.66 and 157,975.95

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Solution

The fourth proportional to 225,693.10, 311,555.66 and 157,975.95 is: 218,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,693.10 : 311,555.66 = 157,975.95 : x
  2. Step 2: Convert to fraction form
    225,693.10/311,555.66 = 157,975.95/x
  3. Step 3: Cross multiply
    225,693.10x = 311,555.66 × 157,975.95
  4. Step 4: Simplify right side
    225,693.10x = 49,218,301,366.38
  5. Step 5: Solve for x
    x = 49,218,301,366.38/225,693.10
  6. Step 6: Final answer
    x = 218,076.23

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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.