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Finding the Fourth Proportional to 255,327, 383,165.49 and 89,115

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Solution

The fourth proportional to 255,327, 383,165.49 and 89,115 is: 133,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,327 : 383,165.49 = 89,115 : x
  2. Step 2: Convert to fraction form
    255,327/383,165.49 = 89,115/x
  3. Step 3: Cross multiply
    255,327x = 383,165.49 × 89,115
  4. Step 4: Simplify right side
    255,327x = 34,145,792,641.35
  5. Step 5: Solve for x
    x = 34,145,792,641.35/255,327
  6. Step 6: Final answer
    x = 133,733.58

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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.