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Finding the Fourth Proportional to 208,538.35, 312,809.12 and 136,551.88

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Solution

The fourth proportional to 208,538.35, 312,809.12 and 136,551.88 is: 204,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,538.35 : 312,809.12 = 136,551.88 : x
  2. Step 2: Convert to fraction form
    208,538.35/312,809.12 = 136,551.88/x
  3. Step 3: Cross multiply
    208,538.35x = 312,809.12 × 136,551.88
  4. Step 4: Simplify right side
    208,538.35x = 42,714,671,493.86
  5. Step 5: Solve for x
    x = 42,714,671,493.86/208,538.35
  6. Step 6: Final answer
    x = 204,828.86

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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.