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Finding the Fourth Proportional to 285,106.96, 427,378.20 and 135,082

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Solution

The fourth proportional to 285,106.96, 427,378.20 and 135,082 is: 202,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,106.96 : 427,378.20 = 135,082 : x
  2. Step 2: Convert to fraction form
    285,106.96/427,378.20 = 135,082/x
  3. Step 3: Cross multiply
    285,106.96x = 427,378.20 × 135,082
  4. Step 4: Simplify right side
    285,106.96x = 57,731,102,012.40
  5. Step 5: Solve for x
    x = 57,731,102,012.40/285,106.96
  6. Step 6: Final answer
    x = 202,489.28

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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.