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Finding the Fourth Proportional to 137,988.64, 206,786.94 and 106,278.76

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Solution

The fourth proportional to 137,988.64, 206,786.94 and 106,278.76 is: 159,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,988.64 : 206,786.94 = 106,278.76 : x
  2. Step 2: Convert to fraction form
    137,988.64/206,786.94 = 106,278.76/x
  3. Step 3: Cross multiply
    137,988.64x = 206,786.94 × 106,278.76
  4. Step 4: Simplify right side
    137,988.64x = 21,977,059,567.39
  5. Step 5: Solve for x
    x = 21,977,059,567.39/137,988.64
  6. Step 6: Final answer
    x = 159,267.17

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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.