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Finding the Fourth Proportional to 107,817.40, 161,726.10 and 55,209.40

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Solution

The fourth proportional to 107,817.40, 161,726.10 and 55,209.40 is: 82,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,817.40 : 161,726.10 = 55,209.40 : x
  2. Step 2: Convert to fraction form
    107,817.40/161,726.10 = 55,209.40/x
  3. Step 3: Cross multiply
    107,817.40x = 161,726.10 × 55,209.40
  4. Step 4: Simplify right side
    107,817.40x = 8,928,800,945.34
  5. Step 5: Solve for x
    x = 8,928,800,945.34/107,817.40
  6. Step 6: Final answer
    x = 82,814.10

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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.