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Finding the Fourth Proportional to 86,433.57, 129,570.48 and 54,747.81

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Solution

The fourth proportional to 86,433.57, 129,570.48 and 54,747.81 is: 82,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,433.57 : 129,570.48 = 54,747.81 : x
  2. Step 2: Convert to fraction form
    86,433.57/129,570.48 = 54,747.81/x
  3. Step 3: Cross multiply
    86,433.57x = 129,570.48 × 54,747.81
  4. Step 4: Simplify right side
    86,433.57x = 7,093,700,020.65
  5. Step 5: Solve for x
    x = 7,093,700,020.65/86,433.57
  6. Step 6: Final answer
    x = 82,071.12

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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.