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Finding the Fourth Proportional to 138,726, 191,408.47 and 84,276.59

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Solution

The fourth proportional to 138,726, 191,408.47 and 84,276.59 is: 116,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,726 : 191,408.47 = 84,276.59 : x
  2. Step 2: Convert to fraction form
    138,726/191,408.47 = 84,276.59/x
  3. Step 3: Cross multiply
    138,726x = 191,408.47 × 84,276.59
  4. Step 4: Simplify right side
    138,726x = 16,131,251,980.98
  5. Step 5: Solve for x
    x = 16,131,251,980.98/138,726
  6. Step 6: Final answer
    x = 116,281.39

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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.