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Finding the Fourth Proportional to 129,242.16, 178,299.36 and 78,912

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Solution

The fourth proportional to 129,242.16, 178,299.36 and 78,912 is: 108,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,242.16 : 178,299.36 = 78,912 : x
  2. Step 2: Convert to fraction form
    129,242.16/178,299.36 = 78,912/x
  3. Step 3: Cross multiply
    129,242.16x = 178,299.36 × 78,912
  4. Step 4: Simplify right side
    129,242.16x = 14,069,959,096.32
  5. Step 5: Solve for x
    x = 14,069,959,096.32/129,242.16
  6. Step 6: Final answer
    x = 108,865.09

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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.