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Finding the Fourth Proportional to 113,405.36, 169,913.64 and 80,065.76

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Solution

The fourth proportional to 113,405.36, 169,913.64 and 80,065.76 is: 119,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,405.36 : 169,913.64 = 80,065.76 : x
  2. Step 2: Convert to fraction form
    113,405.36/169,913.64 = 80,065.76/x
  3. Step 3: Cross multiply
    113,405.36x = 169,913.64 × 80,065.76
  4. Step 4: Simplify right side
    113,405.36x = 13,604,264,720.97
  5. Step 5: Solve for x
    x = 13,604,264,720.97/113,405.36
  6. Step 6: Final answer
    x = 119,961.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.