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Finding the Fourth Proportional to 262,123, 393,184.50 and 87,019

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Solution

The fourth proportional to 262,123, 393,184.50 and 87,019 is: 130,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,123 : 393,184.50 = 87,019 : x
  2. Step 2: Convert to fraction form
    262,123/393,184.50 = 87,019/x
  3. Step 3: Cross multiply
    262,123x = 393,184.50 × 87,019
  4. Step 4: Simplify right side
    262,123x = 34,214,522,005.50
  5. Step 5: Solve for x
    x = 34,214,522,005.50/262,123
  6. Step 6: Final answer
    x = 130,528.50

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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.