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Finding the Fourth Proportional to 255,981.42, 383,808.06 and 106,324.98

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Solution

The fourth proportional to 255,981.42, 383,808.06 and 106,324.98 is: 159,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,981.42 : 383,808.06 = 106,324.98 : x
  2. Step 2: Convert to fraction form
    255,981.42/383,808.06 = 106,324.98/x
  3. Step 3: Cross multiply
    255,981.42x = 383,808.06 × 106,324.98
  4. Step 4: Simplify right side
    255,981.42x = 40,808,384,303.34
  5. Step 5: Solve for x
    x = 40,808,384,303.34/255,981.42
  6. Step 6: Final answer
    x = 159,419.32

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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.