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Finding the Fourth Proportional to 105,486.79, 158,018.16 and 49,249.30

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Solution

The fourth proportional to 105,486.79, 158,018.16 and 49,249.30 is: 73,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,486.79 : 158,018.16 = 49,249.30 : x
  2. Step 2: Convert to fraction form
    105,486.79/158,018.16 = 49,249.30/x
  3. Step 3: Cross multiply
    105,486.79x = 158,018.16 × 49,249.30
  4. Step 4: Simplify right side
    105,486.79x = 7,782,283,767.29
  5. Step 5: Solve for x
    x = 7,782,283,767.29/105,486.79
  6. Step 6: Final answer
    x = 73,774.96

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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.