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Finding the Fourth Proportional to 105,806, 158,748.96 and 55,884.08

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Solution

The fourth proportional to 105,806, 158,748.96 and 55,884.08 is: 83,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,806 : 158,748.96 = 55,884.08 : x
  2. Step 2: Convert to fraction form
    105,806/158,748.96 = 55,884.08/x
  3. Step 3: Cross multiply
    105,806x = 158,748.96 × 55,884.08
  4. Step 4: Simplify right side
    105,806x = 8,871,539,580.56
  5. Step 5: Solve for x
    x = 8,871,539,580.56/105,806
  6. Step 6: Final answer
    x = 83,847.23

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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.