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Finding the Fourth Proportional to 162,555.80, 243,639.30 and 83,629.40

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Solution

The fourth proportional to 162,555.80, 243,639.30 and 83,629.40 is: 125,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,555.80 : 243,639.30 = 83,629.40 : x
  2. Step 2: Convert to fraction form
    162,555.80/243,639.30 = 83,629.40/x
  3. Step 3: Cross multiply
    162,555.80x = 243,639.30 × 83,629.40
  4. Step 4: Simplify right side
    162,555.80x = 20,375,408,475.42
  5. Step 5: Solve for x
    x = 20,375,408,475.42/162,555.80
  6. Step 6: Final answer
    x = 125,344.09

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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.