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Finding the Fourth Proportional to 116,993.86, 161,386.50 and 71,664.64

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Solution

The fourth proportional to 116,993.86, 161,386.50 and 71,664.64 is: 98,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,993.86 : 161,386.50 = 71,664.64 : x
  2. Step 2: Convert to fraction form
    116,993.86/161,386.50 = 71,664.64/x
  3. Step 3: Cross multiply
    116,993.86x = 161,386.50 × 71,664.64
  4. Step 4: Simplify right side
    116,993.86x = 11,565,705,423.36
  5. Step 5: Solve for x
    x = 11,565,705,423.36/116,993.86
  6. Step 6: Final answer
    x = 98,857.37

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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.