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Finding the Fourth Proportional to 225,510.81, 311,205.27 and 123,534.03

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Solution

The fourth proportional to 225,510.81, 311,205.27 and 123,534.03 is: 170,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,510.81 : 311,205.27 = 123,534.03 : x
  2. Step 2: Convert to fraction form
    225,510.81/311,205.27 = 123,534.03/x
  3. Step 3: Cross multiply
    225,510.81x = 311,205.27 × 123,534.03
  4. Step 4: Simplify right side
    225,510.81x = 38,444,440,345.20
  5. Step 5: Solve for x
    x = 38,444,440,345.20/225,510.81
  6. Step 6: Final answer
    x = 170,477.15

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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.