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Finding the Fourth Proportional to 105,418.56, 145,393.92 and 79,663.08

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Solution

The fourth proportional to 105,418.56, 145,393.92 and 79,663.08 is: 109,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,418.56 : 145,393.92 = 79,663.08 : x
  2. Step 2: Convert to fraction form
    105,418.56/145,393.92 = 79,663.08/x
  3. Step 3: Cross multiply
    105,418.56x = 145,393.92 × 79,663.08
  4. Step 4: Simplify right side
    105,418.56x = 11,582,527,480.47
  5. Step 5: Solve for x
    x = 11,582,527,480.47/105,418.56
  6. Step 6: Final answer
    x = 109,871.81

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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.