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Finding the Fourth Proportional to 120,352.67, 165,935.94 and 77,256.13

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Solution

The fourth proportional to 120,352.67, 165,935.94 and 77,256.13 is: 106,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,352.67 : 165,935.94 = 77,256.13 : x
  2. Step 2: Convert to fraction form
    120,352.67/165,935.94 = 77,256.13/x
  3. Step 3: Cross multiply
    120,352.67x = 165,935.94 × 77,256.13
  4. Step 4: Simplify right side
    120,352.67x = 12,819,568,552.31
  5. Step 5: Solve for x
    x = 12,819,568,552.31/120,352.67
  6. Step 6: Final answer
    x = 106,516.69

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1.5x scale

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.