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Finding the Fourth Proportional to 123,484.63, 170,392.49 and 78,082.51

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Solution

The fourth proportional to 123,484.63, 170,392.49 and 78,082.51 is: 107,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,484.63 : 170,392.49 = 78,082.51 : x
  2. Step 2: Convert to fraction form
    123,484.63/170,392.49 = 78,082.51/x
  3. Step 3: Cross multiply
    123,484.63x = 170,392.49 × 78,082.51
  4. Step 4: Simplify right side
    123,484.63x = 13,304,673,304.35
  5. Step 5: Solve for x
    x = 13,304,673,304.35/123,484.63
  6. Step 6: Final answer
    x = 107,743.56

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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.