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Finding the Fourth Proportional to 208,676.12, 312,977.79 and 96,346.73

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Solution

The fourth proportional to 208,676.12, 312,977.79 and 96,346.73 is: 144,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,676.12 : 312,977.79 = 96,346.73 : x
  2. Step 2: Convert to fraction form
    208,676.12/312,977.79 = 96,346.73/x
  3. Step 3: Cross multiply
    208,676.12x = 312,977.79 × 96,346.73
  4. Step 4: Simplify right side
    208,676.12x = 30,154,387,411.57
  5. Step 5: Solve for x
    x = 30,154,387,411.57/208,676.12
  6. Step 6: Final answer
    x = 144,503.30

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1.5x scale

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.