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Finding the Fourth Proportional to 225,732.69, 311,509.39 and 123,756.93

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Solution

The fourth proportional to 225,732.69, 311,509.39 and 123,756.93 is: 170,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,732.69 : 311,509.39 = 123,756.93 : x
  2. Step 2: Convert to fraction form
    225,732.69/311,509.39 = 123,756.93/x
  3. Step 3: Cross multiply
    225,732.69x = 311,509.39 × 123,756.93
  4. Step 4: Simplify right side
    225,732.69x = 38,551,445,772.57
  5. Step 5: Solve for x
    x = 38,551,445,772.57/225,732.69
  6. Step 6: Final answer
    x = 170,783.62

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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.