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Finding the Fourth Proportional to 255,809.86, 383,550.78 and 106,153.45

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Solution

The fourth proportional to 255,809.86, 383,550.78 and 106,153.45 is: 159,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,809.86 : 383,550.78 = 106,153.45 : x
  2. Step 2: Convert to fraction form
    255,809.86/383,550.78 = 106,153.45/x
  3. Step 3: Cross multiply
    255,809.86x = 383,550.78 × 106,153.45
  4. Step 4: Simplify right side
    255,809.86x = 40,715,238,547.19
  5. Step 5: Solve for x
    x = 40,715,238,547.19/255,809.86
  6. Step 6: Final answer
    x = 159,162.12

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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.