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Finding the Fourth Proportional to 138,952.56, 191,739.14 and 78,523.06

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Solution

The fourth proportional to 138,952.56, 191,739.14 and 78,523.06 is: 108,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,952.56 : 191,739.14 = 78,523.06 : x
  2. Step 2: Convert to fraction form
    138,952.56/191,739.14 = 78,523.06/x
  3. Step 3: Cross multiply
    138,952.56x = 191,739.14 × 78,523.06
  4. Step 4: Simplify right side
    138,952.56x = 15,055,943,913.64
  5. Step 5: Solve for x
    x = 15,055,943,913.64/138,952.56
  6. Step 6: Final answer
    x = 108,353.12

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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.