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Finding the Fourth Proportional to 138,409.56, 191,005.19 and 74,747.36

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Solution

The fourth proportional to 138,409.56, 191,005.19 and 74,747.36 is: 103,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,409.56 : 191,005.19 = 74,747.36 : x
  2. Step 2: Convert to fraction form
    138,409.56/191,005.19 = 74,747.36/x
  3. Step 3: Cross multiply
    138,409.56x = 191,005.19 × 74,747.36
  4. Step 4: Simplify right side
    138,409.56x = 14,277,133,698.80
  5. Step 5: Solve for x
    x = 14,277,133,698.80/138,409.56
  6. Step 6: Final answer
    x = 103,151.36

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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.