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Finding the Fourth Proportional to 86,802, 119,786.76 and 47,058

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Solution

The fourth proportional to 86,802, 119,786.76 and 47,058 is: 64,940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,802 : 119,786.76 = 47,058 : x
  2. Step 2: Convert to fraction form
    86,802/119,786.76 = 47,058/x
  3. Step 3: Cross multiply
    86,802x = 119,786.76 × 47,058
  4. Step 4: Simplify right side
    86,802x = 5,636,925,352.08
  5. Step 5: Solve for x
    x = 5,636,925,352.08/86,802
  6. Step 6: Final answer
    x = 64,940.04

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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.