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Finding the Fourth Proportional to 255,223, 383,009.82 and 89,011

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Solution

The fourth proportional to 255,223, 383,009.82 and 89,011 is: 133,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,223 : 383,009.82 = 89,011 : x
  2. Step 2: Convert to fraction form
    255,223/383,009.82 = 89,011/x
  3. Step 3: Cross multiply
    255,223x = 383,009.82 × 89,011
  4. Step 4: Simplify right side
    255,223x = 34,092,087,088.02
  5. Step 5: Solve for x
    x = 34,092,087,088.02/255,223
  6. Step 6: Final answer
    x = 133,577.64

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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.