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Finding the Fourth Proportional to 177,018.21, 265,297.68 and 71,779.77

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Solution

The fourth proportional to 177,018.21, 265,297.68 and 71,779.77 is: 107,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,018.21 : 265,297.68 = 71,779.77 : x
  2. Step 2: Convert to fraction form
    177,018.21/265,297.68 = 71,779.77/x
  3. Step 3: Cross multiply
    177,018.21x = 265,297.68 × 71,779.77
  4. Step 4: Simplify right side
    177,018.21x = 19,043,006,451.93
  5. Step 5: Solve for x
    x = 19,043,006,451.93/177,018.21
  6. Step 6: Final answer
    x = 107,576.54

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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.