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Finding the Fourth Proportional to 125,451.39, 188,229.71 and 78,106.11

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Solution

The fourth proportional to 125,451.39, 188,229.71 and 78,106.11 is: 117,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,451.39 : 188,229.71 = 78,106.11 : x
  2. Step 2: Convert to fraction form
    125,451.39/188,229.71 = 78,106.11/x
  3. Step 3: Cross multiply
    125,451.39x = 188,229.71 × 78,106.11
  4. Step 4: Simplify right side
    125,451.39x = 14,701,890,044.00
  5. Step 5: Solve for x
    x = 14,701,890,044.00/125,451.39
  6. Step 6: Final answer
    x = 117,191.93

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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.