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Finding the Fourth Proportional to 82,808.72, 114,409.64 and 57,770

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Solution

The fourth proportional to 82,808.72, 114,409.64 and 57,770 is: 79,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,808.72 : 114,409.64 = 57,770 : x
  2. Step 2: Convert to fraction form
    82,808.72/114,409.64 = 57,770/x
  3. Step 3: Cross multiply
    82,808.72x = 114,409.64 × 57,770
  4. Step 4: Simplify right side
    82,808.72x = 6,609,444,902.80
  5. Step 5: Solve for x
    x = 6,609,444,902.80/82,808.72
  6. Step 6: Final answer
    x = 79,815.81

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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.