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Finding the Fourth Proportional to 138,880.77, 191,655.28 and 75,218.82

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Solution

The fourth proportional to 138,880.77, 191,655.28 and 75,218.82 is: 103,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,880.77 : 191,655.28 = 75,218.82 : x
  2. Step 2: Convert to fraction form
    138,880.77/191,655.28 = 75,218.82/x
  3. Step 3: Cross multiply
    138,880.77x = 191,655.28 × 75,218.82
  4. Step 4: Simplify right side
    138,880.77x = 14,416,084,008.37
  5. Step 5: Solve for x
    x = 14,416,084,008.37/138,880.77
  6. Step 6: Final answer
    x = 103,801.87

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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.