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Finding the Fourth Proportional to 129,295.58, 178,424.28 and 78,338.48

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Solution

The fourth proportional to 129,295.58, 178,424.28 and 78,338.48 is: 108,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,295.58 : 178,424.28 = 78,338.48 : x
  2. Step 2: Convert to fraction form
    129,295.58/178,424.28 = 78,338.48/x
  3. Step 3: Cross multiply
    129,295.58x = 178,424.28 × 78,338.48
  4. Step 4: Simplify right side
    129,295.58x = 13,977,485,998.17
  5. Step 5: Solve for x
    x = 13,977,485,998.17/129,295.58
  6. Step 6: Final answer
    x = 108,104.91

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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.