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Finding the Fourth Proportional to 120,172.68, 165,852.72 and 69,871.68

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Solution

The fourth proportional to 120,172.68, 165,852.72 and 69,871.68 is: 96,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,172.68 : 165,852.72 = 69,871.68 : x
  2. Step 2: Convert to fraction form
    120,172.68/165,852.72 = 69,871.68/x
  3. Step 3: Cross multiply
    120,172.68x = 165,852.72 × 69,871.68
  4. Step 4: Simplify right side
    120,172.68x = 11,588,408,178.97
  5. Step 5: Solve for x
    x = 11,588,408,178.97/120,172.68
  6. Step 6: Final answer
    x = 96,431.30

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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.