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Finding the Fourth Proportional to 105,908.79, 158,899.64 and 66,419.67

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Solution

The fourth proportional to 105,908.79, 158,899.64 and 66,419.67 is: 99,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,908.79 : 158,899.64 = 66,419.67 : x
  2. Step 2: Convert to fraction form
    105,908.79/158,899.64 = 66,419.67/x
  3. Step 3: Cross multiply
    105,908.79x = 158,899.64 × 66,419.67
  4. Step 4: Simplify right side
    105,908.79x = 10,554,061,651.92
  5. Step 5: Solve for x
    x = 10,554,061,651.92/105,908.79
  6. Step 6: Final answer
    x = 99,652.37

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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.