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Finding the Fourth Proportional to 138,576.64, 191,220.96 and 78,145.96

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Solution

The fourth proportional to 138,576.64, 191,220.96 and 78,145.96 is: 107,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,576.64 : 191,220.96 = 78,145.96 : x
  2. Step 2: Convert to fraction form
    138,576.64/191,220.96 = 78,145.96/x
  3. Step 3: Cross multiply
    138,576.64x = 191,220.96 × 78,145.96
  4. Step 4: Simplify right side
    138,576.64x = 14,943,145,491.32
  5. Step 5: Solve for x
    x = 14,943,145,491.32/138,576.64
  6. Step 6: Final answer
    x = 107,833.08

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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.