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Finding the Fourth Proportional to 225,846.93, 311,666.64 and 123,870.31

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Solution

The fourth proportional to 225,846.93, 311,666.64 and 123,870.31 is: 170,939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,846.93 : 311,666.64 = 123,870.31 : x
  2. Step 2: Convert to fraction form
    225,846.93/311,666.64 = 123,870.31/x
  3. Step 3: Cross multiply
    225,846.93x = 311,666.64 × 123,870.31
  4. Step 4: Simplify right side
    225,846.93x = 38,606,243,822.90
  5. Step 5: Solve for x
    x = 38,606,243,822.90/225,846.93
  6. Step 6: Final answer
    x = 170,939.86

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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.