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Finding the Fourth Proportional to 138,739.88, 191,461.54 and 75,077.68

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Solution

The fourth proportional to 138,739.88, 191,461.54 and 75,077.68 is: 103,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,739.88 : 191,461.54 = 75,077.68 : x
  2. Step 2: Convert to fraction form
    138,739.88/191,461.54 = 75,077.68/x
  3. Step 3: Cross multiply
    138,739.88x = 191,461.54 × 75,077.68
  4. Step 4: Simplify right side
    138,739.88x = 14,374,488,232.43
  5. Step 5: Solve for x
    x = 14,374,488,232.43/138,739.88
  6. Step 6: Final answer
    x = 103,607.47

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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.