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Finding the Fourth Proportional to 255,899.64, 383,894.82 and 123,020.76

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Solution

The fourth proportional to 255,899.64, 383,894.82 and 123,020.76 is: 184,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,899.64 : 383,894.82 = 123,020.76 : x
  2. Step 2: Convert to fraction form
    255,899.64/383,894.82 = 123,020.76/x
  3. Step 3: Cross multiply
    255,899.64x = 383,894.82 × 123,020.76
  4. Step 4: Simplify right side
    255,899.64x = 47,227,032,516.46
  5. Step 5: Solve for x
    x = 47,227,032,516.46/255,899.64
  6. Step 6: Final answer
    x = 184,552.95

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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.