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Finding the Fourth Proportional to 125,199.84, 188,137.68 and 117,228

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Solution

The fourth proportional to 125,199.84, 188,137.68 and 117,228 is: 176,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,199.84 : 188,137.68 = 117,228 : x
  2. Step 2: Convert to fraction form
    125,199.84/188,137.68 = 117,228/x
  3. Step 3: Cross multiply
    125,199.84x = 188,137.68 × 117,228
  4. Step 4: Simplify right side
    125,199.84x = 22,055,003,951.04
  5. Step 5: Solve for x
    x = 22,055,003,951.04/125,199.84
  6. Step 6: Final answer
    x = 176,158.40

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