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Finding the Fourth Proportional to 86,544, 119,433.60 and 53,003.52

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Solution

The fourth proportional to 86,544, 119,433.60 and 53,003.52 is: 73,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,544 : 119,433.60 = 53,003.52 : x
  2. Step 2: Convert to fraction form
    86,544/119,433.60 = 53,003.52/x
  3. Step 3: Cross multiply
    86,544x = 119,433.60 × 53,003.52
  4. Step 4: Simplify right side
    86,544x = 6,330,401,206.27
  5. Step 5: Solve for x
    x = 6,330,401,206.27/86,544
  6. Step 6: Final answer
    x = 73,146.62

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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.