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Finding the Fourth Proportional to 138,854.86, 191,619.66 and 75,192.64

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Solution

The fourth proportional to 138,854.86, 191,619.66 and 75,192.64 is: 103,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,854.86 : 191,619.66 = 75,192.64 : x
  2. Step 2: Convert to fraction form
    138,854.86/191,619.66 = 75,192.64/x
  3. Step 3: Cross multiply
    138,854.86x = 191,619.66 × 75,192.64
  4. Step 4: Simplify right side
    138,854.86x = 14,408,388,111.30
  5. Step 5: Solve for x
    x = 14,408,388,111.30/138,854.86
  6. Step 6: Final answer
    x = 103,765.82

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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.