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Finding the Fourth Proportional to 138,594.96, 191,261.32 and 74,932.75

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Solution

The fourth proportional to 138,594.96, 191,261.32 and 74,932.75 is: 103,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,594.96 : 191,261.32 = 74,932.75 : x
  2. Step 2: Convert to fraction form
    138,594.96/191,261.32 = 74,932.75/x
  3. Step 3: Cross multiply
    138,594.96x = 191,261.32 × 74,932.75
  4. Step 4: Simplify right side
    138,594.96x = 14,331,737,086.59
  5. Step 5: Solve for x
    x = 14,331,737,086.59/138,594.96
  6. Step 6: Final answer
    x = 103,407.35

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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.