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Finding the Fourth Proportional to 255,222, 383,008.32 and 89,010

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Solution

The fourth proportional to 255,222, 383,008.32 and 89,010 is: 133,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,222 : 383,008.32 = 89,010 : x
  2. Step 2: Convert to fraction form
    255,222/383,008.32 = 89,010/x
  3. Step 3: Cross multiply
    255,222x = 383,008.32 × 89,010
  4. Step 4: Simplify right side
    255,222x = 34,091,570,563.20
  5. Step 5: Solve for x
    x = 34,091,570,563.20/255,222
  6. Step 6: Final answer
    x = 133,576.14

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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.