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Finding the Fourth Proportional to 107,806.70, 161,710.05 and 102,968.30

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Solution

The fourth proportional to 107,806.70, 161,710.05 and 102,968.30 is: 154,452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,806.70 : 161,710.05 = 102,968.30 : x
  2. Step 2: Convert to fraction form
    107,806.70/161,710.05 = 102,968.30/x
  3. Step 3: Cross multiply
    107,806.70x = 161,710.05 × 102,968.30
  4. Step 4: Simplify right side
    107,806.70x = 16,651,008,941.42
  5. Step 5: Solve for x
    x = 16,651,008,941.42/107,806.70
  6. Step 6: Final answer
    x = 154,452.45

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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.