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Finding the Fourth Proportional to 138,876.36, 191,649.32 and 75,214.16

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Solution

The fourth proportional to 138,876.36, 191,649.32 and 75,214.16 is: 103,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,876.36 : 191,649.32 = 75,214.16 : x
  2. Step 2: Convert to fraction form
    138,876.36/191,649.32 = 75,214.16/x
  3. Step 3: Cross multiply
    138,876.36x = 191,649.32 × 75,214.16
  4. Step 4: Simplify right side
    138,876.36x = 14,414,742,618.37
  5. Step 5: Solve for x
    x = 14,414,742,618.37/138,876.36
  6. Step 6: Final answer
    x = 103,795.51

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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.