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Finding the Fourth Proportional to 101,823.78, 152,824.78 and 54,476.58

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Solution

The fourth proportional to 101,823.78, 152,824.78 and 54,476.58 is: 81,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,823.78 : 152,824.78 = 54,476.58 : x
  2. Step 2: Convert to fraction form
    101,823.78/152,824.78 = 54,476.58/x
  3. Step 3: Cross multiply
    101,823.78x = 152,824.78 × 54,476.58
  4. Step 4: Simplify right side
    101,823.78x = 8,325,371,353.65
  5. Step 5: Solve for x
    x = 8,325,371,353.65/101,823.78
  6. Step 6: Final answer
    x = 81,762.54

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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.