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Finding the Fourth Proportional to 117,242, 161,795.88 and 83,764.88

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Solution

The fourth proportional to 117,242, 161,795.88 and 83,764.88 is: 115,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,242 : 161,795.88 = 83,764.88 : x
  2. Step 2: Convert to fraction form
    117,242/161,795.88 = 83,764.88/x
  3. Step 3: Cross multiply
    117,242x = 161,795.88 × 83,764.88
  4. Step 4: Simplify right side
    117,242x = 13,552,812,472.69
  5. Step 5: Solve for x
    x = 13,552,812,472.69/117,242
  6. Step 6: Final answer
    x = 115,596.91

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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.