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Finding the Fourth Proportional to 262,127.70, 393,115.47 and 102,168

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Solution

The fourth proportional to 262,127.70, 393,115.47 and 102,168 is: 153,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,127.70 : 393,115.47 = 102,168 : x
  2. Step 2: Convert to fraction form
    262,127.70/393,115.47 = 102,168/x
  3. Step 3: Cross multiply
    262,127.70x = 393,115.47 × 102,168
  4. Step 4: Simplify right side
    262,127.70x = 40,163,821,338.96
  5. Step 5: Solve for x
    x = 40,163,821,338.96/262,127.70
  6. Step 6: Final answer
    x = 153,222.35

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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.