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Finding the Fourth Proportional to 255,900.64, 383,896.32 and 123,021.76

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Solution

The fourth proportional to 255,900.64, 383,896.32 and 123,021.76 is: 184,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,900.64 : 383,896.32 = 123,021.76 : x
  2. Step 2: Convert to fraction form
    255,900.64/383,896.32 = 123,021.76/x
  3. Step 3: Cross multiply
    255,900.64x = 383,896.32 × 123,021.76
  4. Step 4: Simplify right side
    255,900.64x = 47,227,600,943.92
  5. Step 5: Solve for x
    x = 47,227,600,943.92/255,900.64
  6. Step 6: Final answer
    x = 184,554.45

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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.