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Finding the Fourth Proportional to 129,145.54, 178,222.54 and 78,157.66

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Solution

The fourth proportional to 129,145.54, 178,222.54 and 78,157.66 is: 107,858.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,145.54 : 178,222.54 = 78,157.66 : x
  2. Step 2: Convert to fraction form
    129,145.54/178,222.54 = 78,157.66/x
  3. Step 3: Cross multiply
    129,145.54x = 178,222.54 × 78,157.66
  4. Step 4: Simplify right side
    129,145.54x = 13,929,456,685.66
  5. Step 5: Solve for x
    x = 13,929,456,685.66/129,145.54
  6. Step 6: Final answer
    x = 107,858.60

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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.