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Finding the Fourth Proportional to 138,900.61, 191,682.21 and 75,238.56

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Solution

The fourth proportional to 138,900.61, 191,682.21 and 75,238.56 is: 103,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,900.61 : 191,682.21 = 75,238.56 : x
  2. Step 2: Convert to fraction form
    138,900.61/191,682.21 = 75,238.56/x
  3. Step 3: Cross multiply
    138,900.61x = 191,682.21 × 75,238.56
  4. Step 4: Simplify right side
    138,900.61x = 14,421,893,458.02
  5. Step 5: Solve for x
    x = 14,421,893,458.02/138,900.61
  6. Step 6: Final answer
    x = 103,828.87

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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.