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Finding the Fourth Proportional to 107,889.60, 161,834.40 and 70,564.80

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Solution

The fourth proportional to 107,889.60, 161,834.40 and 70,564.80 is: 105,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,889.60 : 161,834.40 = 70,564.80 : x
  2. Step 2: Convert to fraction form
    107,889.60/161,834.40 = 70,564.80/x
  3. Step 3: Cross multiply
    107,889.60x = 161,834.40 × 70,564.80
  4. Step 4: Simplify right side
    107,889.60x = 11,419,812,069.12
  5. Step 5: Solve for x
    x = 11,419,812,069.12/107,889.60
  6. Step 6: Final answer
    x = 105,847.20

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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.