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Finding the Fourth Proportional to 132,486.90, 182,879.47 and 78,771.78

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Solution

The fourth proportional to 132,486.90, 182,879.47 and 78,771.78 is: 108,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,486.90 : 182,879.47 = 78,771.78 : x
  2. Step 2: Convert to fraction form
    132,486.90/182,879.47 = 78,771.78/x
  3. Step 3: Cross multiply
    132,486.90x = 182,879.47 × 78,771.78
  4. Step 4: Simplify right side
    132,486.90x = 14,405,742,064.02
  5. Step 5: Solve for x
    x = 14,405,742,064.02/132,486.90
  6. Step 6: Final answer
    x = 108,733.34

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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.