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Finding the Fourth Proportional to 129,156.53, 178,250.43 and 78,197.33

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Solution

The fourth proportional to 129,156.53, 178,250.43 and 78,197.33 is: 107,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,156.53 : 178,250.43 = 78,197.33 : x
  2. Step 2: Convert to fraction form
    129,156.53/178,250.43 = 78,197.33/x
  3. Step 3: Cross multiply
    129,156.53x = 178,250.43 × 78,197.33
  4. Step 4: Simplify right side
    129,156.53x = 13,938,707,697.35
  5. Step 5: Solve for x
    x = 13,938,707,697.35/129,156.53
  6. Step 6: Final answer
    x = 107,921.05

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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.