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Finding the Fourth Proportional to 133,078.54, 183,648.46 and 76,489.78

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Solution

The fourth proportional to 133,078.54, 183,648.46 and 76,489.78 is: 105,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078.54 : 183,648.46 = 76,489.78 : x
  2. Step 2: Convert to fraction form
    133,078.54/183,648.46 = 76,489.78/x
  3. Step 3: Cross multiply
    133,078.54x = 183,648.46 × 76,489.78
  4. Step 4: Simplify right side
    133,078.54x = 14,047,230,302.74
  5. Step 5: Solve for x
    x = 14,047,230,302.74/133,078.54
  6. Step 6: Final answer
    x = 105,555.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.