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Finding the Fourth Proportional to 125,410.40, 188,193.60 and 78,118.40

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Solution

The fourth proportional to 125,410.40, 188,193.60 and 78,118.40 is: 117,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,410.40 : 188,193.60 = 78,118.40 : x
  2. Step 2: Convert to fraction form
    125,410.40/188,193.60 = 78,118.40/x
  3. Step 3: Cross multiply
    125,410.40x = 188,193.60 × 78,118.40
  4. Step 4: Simplify right side
    125,410.40x = 14,701,382,922.24
  5. Step 5: Solve for x
    x = 14,701,382,922.24/125,410.40
  6. Step 6: Final answer
    x = 117,226.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.