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Finding the Fourth Proportional to 256,030.06, 384,083.14 and 82,863.86

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Solution

The fourth proportional to 256,030.06, 384,083.14 and 82,863.86 is: 124,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,030.06 : 384,083.14 = 82,863.86 : x
  2. Step 2: Convert to fraction form
    256,030.06/384,083.14 = 82,863.86/x
  3. Step 3: Cross multiply
    256,030.06x = 384,083.14 × 82,863.86
  4. Step 4: Simplify right side
    256,030.06x = 31,826,610,373.95
  5. Step 5: Solve for x
    x = 31,826,610,373.95/256,030.06
  6. Step 6: Final answer
    x = 124,308.10

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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.