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Finding the Fourth Proportional to 151,676.68, 209,312.42 and 83,694.28

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Solution

The fourth proportional to 151,676.68, 209,312.42 and 83,694.28 is: 115,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,676.68 : 209,312.42 = 83,694.28 : x
  2. Step 2: Convert to fraction form
    151,676.68/209,312.42 = 83,694.28/x
  3. Step 3: Cross multiply
    151,676.68x = 209,312.42 × 83,694.28
  4. Step 4: Simplify right side
    151,676.68x = 17,518,252,286.96
  5. Step 5: Solve for x
    x = 17,518,252,286.96/151,676.68
  6. Step 6: Final answer
    x = 115,497.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.