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Finding the Fourth Proportional to 161,709.40, 242,564.10 and 105,722.20

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Solution

The fourth proportional to 161,709.40, 242,564.10 and 105,722.20 is: 158,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,709.40 : 242,564.10 = 105,722.20 : x
  2. Step 2: Convert to fraction form
    161,709.40/242,564.10 = 105,722.20/x
  3. Step 3: Cross multiply
    161,709.40x = 242,564.10 × 105,722.20
  4. Step 4: Simplify right side
    161,709.40x = 25,644,410,293.02
  5. Step 5: Solve for x
    x = 25,644,410,293.02/161,709.40
  6. Step 6: Final answer
    x = 158,583.30

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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.