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Finding the Fourth Proportional to 138,977.84, 191,703.84 and 121,115.72

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Solution

The fourth proportional to 138,977.84, 191,703.84 and 121,115.72 is: 167,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,977.84 : 191,703.84 = 121,115.72 : x
  2. Step 2: Convert to fraction form
    138,977.84/191,703.84 = 121,115.72/x
  3. Step 3: Cross multiply
    138,977.84x = 191,703.84 × 121,115.72
  4. Step 4: Simplify right side
    138,977.84x = 23,218,348,608.36
  5. Step 5: Solve for x
    x = 23,218,348,608.36/138,977.84
  6. Step 6: Final answer
    x = 167,065.11

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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.