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Finding the Fourth Proportional to 138,654.56, 191,342.85 and 74,992.34

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Solution

The fourth proportional to 138,654.56, 191,342.85 and 74,992.34 is: 103,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,654.56 : 191,342.85 = 74,992.34 : x
  2. Step 2: Convert to fraction form
    138,654.56/191,342.85 = 74,992.34/x
  3. Step 3: Cross multiply
    138,654.56x = 191,342.85 × 74,992.34
  4. Step 4: Simplify right side
    138,654.56x = 14,349,248,063.77
  5. Step 5: Solve for x
    x = 14,349,248,063.77/138,654.56
  6. Step 6: Final answer
    x = 103,489.19

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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.