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Finding the Fourth Proportional to 86,684, 119,623.92 and 46,940

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Solution

The fourth proportional to 86,684, 119,623.92 and 46,940 is: 64,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,684 : 119,623.92 = 46,940 : x
  2. Step 2: Convert to fraction form
    86,684/119,623.92 = 46,940/x
  3. Step 3: Cross multiply
    86,684x = 119,623.92 × 46,940
  4. Step 4: Simplify right side
    86,684x = 5,615,146,804.80
  5. Step 5: Solve for x
    x = 5,615,146,804.80/86,684
  6. Step 6: Final answer
    x = 64,777.20

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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.