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Finding the Fourth Proportional to 138,877.54, 191,651.16 and 75,215.42

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Solution

The fourth proportional to 138,877.54, 191,651.16 and 75,215.42 is: 103,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,877.54 : 191,651.16 = 75,215.42 : x
  2. Step 2: Convert to fraction form
    138,877.54/191,651.16 = 75,215.42/x
  3. Step 3: Cross multiply
    138,877.54x = 191,651.16 × 75,215.42
  4. Step 4: Simplify right side
    138,877.54x = 14,415,122,492.89
  5. Step 5: Solve for x
    x = 14,415,122,492.89/138,877.54
  6. Step 6: Final answer
    x = 103,797.36

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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.