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Finding the Fourth Proportional to 98,189.30, 135,492.92 and 55,165.43

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Solution

The fourth proportional to 98,189.30, 135,492.92 and 55,165.43 is: 76,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,189.30 : 135,492.92 = 55,165.43 : x
  2. Step 2: Convert to fraction form
    98,189.30/135,492.92 = 55,165.43/x
  3. Step 3: Cross multiply
    98,189.30x = 135,492.92 × 55,165.43
  4. Step 4: Simplify right side
    98,189.30x = 7,474,525,670.40
  5. Step 5: Solve for x
    x = 7,474,525,670.40/98,189.30
  6. Step 6: Final answer
    x = 76,123.63

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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.