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Finding the Fourth Proportional to 120,431.94, 180,609.63 and 112,569.66

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Solution

The fourth proportional to 120,431.94, 180,609.63 and 112,569.66 is: 168,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,431.94 : 180,609.63 = 112,569.66 : x
  2. Step 2: Convert to fraction form
    120,431.94/180,609.63 = 112,569.66/x
  3. Step 3: Cross multiply
    120,431.94x = 180,609.63 × 112,569.66
  4. Step 4: Simplify right side
    120,431.94x = 20,331,164,641.83
  5. Step 5: Solve for x
    x = 20,331,164,641.83/120,431.94
  6. Step 6: Final answer
    x = 168,818.71

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1.5x scale

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.