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Finding the Fourth Proportional to 255,651.10, 383,521.20 and 105,809.20

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Solution

The fourth proportional to 255,651.10, 383,521.20 and 105,809.20 is: 158,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,651.10 : 383,521.20 = 105,809.20 : x
  2. Step 2: Convert to fraction form
    255,651.10/383,521.20 = 105,809.20/x
  3. Step 3: Cross multiply
    255,651.10x = 383,521.20 × 105,809.20
  4. Step 4: Simplify right side
    255,651.10x = 40,580,071,355.04
  5. Step 5: Solve for x
    x = 40,580,071,355.04/255,651.10
  6. Step 6: Final answer
    x = 158,732.24

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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.