Home / 208,509.12-312,822-82,071.36

Finding the Fourth Proportional to 208,509.12, 312,822 and 82,071.36

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Solution

The fourth proportional to 208,509.12, 312,822 and 82,071.36 is: 123,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.12 : 312,822 = 82,071.36 : x
  2. Step 2: Convert to fraction form
    208,509.12/312,822 = 82,071.36/x
  3. Step 3: Cross multiply
    208,509.12x = 312,822 × 82,071.36
  4. Step 4: Simplify right side
    208,509.12x = 25,673,726,977.92
  5. Step 5: Solve for x
    x = 25,673,726,977.92/208,509.12
  6. Step 6: Final answer
    x = 123,130.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.