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Finding the Fourth Proportional to 119,896.49, 165,463.20 and 79,541.48

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Solution

The fourth proportional to 119,896.49, 165,463.20 and 79,541.48 is: 109,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,896.49 : 165,463.20 = 79,541.48 : x
  2. Step 2: Convert to fraction form
    119,896.49/165,463.20 = 79,541.48/x
  3. Step 3: Cross multiply
    119,896.49x = 165,463.20 × 79,541.48
  4. Step 4: Simplify right side
    119,896.49x = 13,161,186,986.22
  5. Step 5: Solve for x
    x = 13,161,186,986.22/119,896.49
  6. Step 6: Final answer
    x = 109,771.25

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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.