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Finding the Fourth Proportional to 129,284.88, 178,356.60 and 78,954

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Solution

The fourth proportional to 129,284.88, 178,356.60 and 78,954 is: 108,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,284.88 : 178,356.60 = 78,954 : x
  2. Step 2: Convert to fraction form
    129,284.88/178,356.60 = 78,954/x
  3. Step 3: Cross multiply
    129,284.88x = 178,356.60 × 78,954
  4. Step 4: Simplify right side
    129,284.88x = 14,081,966,996.40
  5. Step 5: Solve for x
    x = 14,081,966,996.40/129,284.88
  6. Step 6: Final answer
    x = 108,921.99

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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.