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Finding the Fourth Proportional to 138,406.88, 191,001.49 and 74,744.67

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Solution

The fourth proportional to 138,406.88, 191,001.49 and 74,744.67 is: 103,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,406.88 : 191,001.49 = 74,744.67 : x
  2. Step 2: Convert to fraction form
    138,406.88/191,001.49 = 74,744.67/x
  3. Step 3: Cross multiply
    138,406.88x = 191,001.49 × 74,744.67
  4. Step 4: Simplify right side
    138,406.88x = 14,276,343,339.56
  5. Step 5: Solve for x
    x = 14,276,343,339.56/138,406.88
  6. Step 6: Final answer
    x = 103,147.64

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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.