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Finding the Fourth Proportional to 86,724, 119,679.84 and 46,980

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Solution

The fourth proportional to 86,724, 119,679.84 and 46,980 is: 64,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,724 : 119,679.84 = 46,980 : x
  2. Step 2: Convert to fraction form
    86,724/119,679.84 = 46,980/x
  3. Step 3: Cross multiply
    86,724x = 119,679.84 × 46,980
  4. Step 4: Simplify right side
    86,724x = 5,622,558,883.20
  5. Step 5: Solve for x
    x = 5,622,558,883.20/86,724
  6. Step 6: Final answer
    x = 64,832.79

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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.