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Finding the Fourth Proportional to 135,073.22, 186,408.22 and 77,721.26

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Solution

The fourth proportional to 135,073.22, 186,408.22 and 77,721.26 is: 107,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,073.22 : 186,408.22 = 77,721.26 : x
  2. Step 2: Convert to fraction form
    135,073.22/186,408.22 = 77,721.26/x
  3. Step 3: Cross multiply
    135,073.22x = 186,408.22 × 77,721.26
  4. Step 4: Simplify right side
    135,073.22x = 14,487,881,732.76
  5. Step 5: Solve for x
    x = 14,487,881,732.76/135,073.22
  6. Step 6: Final answer
    x = 107,259.47

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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.