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Finding the Fourth Proportional to 129,436.68, 178,587.72 and 75,734.94

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Solution

The fourth proportional to 129,436.68, 178,587.72 and 75,734.94 is: 104,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,436.68 : 178,587.72 = 75,734.94 : x
  2. Step 2: Convert to fraction form
    129,436.68/178,587.72 = 75,734.94/x
  3. Step 3: Cross multiply
    129,436.68x = 178,587.72 × 75,734.94
  4. Step 4: Simplify right side
    129,436.68x = 13,525,330,258.94
  5. Step 5: Solve for x
    x = 13,525,330,258.94/129,436.68
  6. Step 6: Final answer
    x = 104,493.80

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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.