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Finding the Fourth Proportional to 255,224, 383,011.32 and 89,012

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Solution

The fourth proportional to 255,224, 383,011.32 and 89,012 is: 133,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,224 : 383,011.32 = 89,012 : x
  2. Step 2: Convert to fraction form
    255,224/383,011.32 = 89,012/x
  3. Step 3: Cross multiply
    255,224x = 383,011.32 × 89,012
  4. Step 4: Simplify right side
    255,224x = 34,092,603,615.84
  5. Step 5: Solve for x
    x = 34,092,603,615.84/255,224
  6. Step 6: Final answer
    x = 133,579.14

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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.