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Finding the Fourth Proportional to 86,535, 119,431.26 and 53,020.44

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Solution

The fourth proportional to 86,535, 119,431.26 and 53,020.44 is: 73,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,535 : 119,431.26 = 53,020.44 : x
  2. Step 2: Convert to fraction form
    86,535/119,431.26 = 53,020.44/x
  3. Step 3: Cross multiply
    86,535x = 119,431.26 × 53,020.44
  4. Step 4: Simplify right side
    86,535x = 6,332,297,954.95
  5. Step 5: Solve for x
    x = 6,332,297,954.95/86,535
  6. Step 6: Final answer
    x = 73,176.15

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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.