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Finding the Fourth Proportional to 120,195.84, 165,719.55 and 77,099.37

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Solution

The fourth proportional to 120,195.84, 165,719.55 and 77,099.37 is: 106,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,195.84 : 165,719.55 = 77,099.37 : x
  2. Step 2: Convert to fraction form
    120,195.84/165,719.55 = 77,099.37/x
  3. Step 3: Cross multiply
    120,195.84x = 165,719.55 × 77,099.37
  4. Step 4: Simplify right side
    120,195.84x = 12,776,872,901.68
  5. Step 5: Solve for x
    x = 12,776,872,901.68/120,195.84
  6. Step 6: Final answer
    x = 106,300.46

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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.