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Finding the Fourth Proportional to 86,424, 119,216.76 and 50,607.12

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Solution

The fourth proportional to 86,424, 119,216.76 and 50,607.12 is: 69,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,424 : 119,216.76 = 50,607.12 : x
  2. Step 2: Convert to fraction form
    86,424/119,216.76 = 50,607.12/x
  3. Step 3: Cross multiply
    86,424x = 119,216.76 × 50,607.12
  4. Step 4: Simplify right side
    86,424x = 6,033,216,879.33
  5. Step 5: Solve for x
    x = 6,033,216,879.33/86,424
  6. Step 6: Final answer
    x = 69,809.51

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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.