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Finding the Fourth Proportional to 115,872.96, 159,822.05 and 106,343.72

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Solution

The fourth proportional to 115,872.96, 159,822.05 and 106,343.72 is: 146,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,872.96 : 159,822.05 = 106,343.72 : x
  2. Step 2: Convert to fraction form
    115,872.96/159,822.05 = 106,343.72/x
  3. Step 3: Cross multiply
    115,872.96x = 159,822.05 × 106,343.72
  4. Step 4: Simplify right side
    115,872.96x = 16,996,070,603.53
  5. Step 5: Solve for x
    x = 16,996,070,603.53/115,872.96
  6. Step 6: Final answer
    x = 146,678.48

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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.