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Finding the Fourth Proportional to 162,905.80, 245,014.80 and 145,847.20

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Solution

The fourth proportional to 162,905.80, 245,014.80 and 145,847.20 is: 219,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,905.80 : 245,014.80 = 145,847.20 : x
  2. Step 2: Convert to fraction form
    162,905.80/245,014.80 = 145,847.20/x
  3. Step 3: Cross multiply
    162,905.80x = 245,014.80 × 145,847.20
  4. Step 4: Simplify right side
    162,905.80x = 35,734,722,538.56
  5. Step 5: Solve for x
    x = 35,734,722,538.56/162,905.80
  6. Step 6: Final answer
    x = 219,358.20

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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.