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Finding the Fourth Proportional to 125,514.63, 188,272.01 and 78,800.31

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Solution

The fourth proportional to 125,514.63, 188,272.01 and 78,800.31 is: 118,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,514.63 : 188,272.01 = 78,800.31 : x
  2. Step 2: Convert to fraction form
    125,514.63/188,272.01 = 78,800.31/x
  3. Step 3: Cross multiply
    125,514.63x = 188,272.01 × 78,800.31
  4. Step 4: Simplify right side
    125,514.63x = 14,835,892,949.32
  5. Step 5: Solve for x
    x = 14,835,892,949.32/125,514.63
  6. Step 6: Final answer
    x = 118,200.51

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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.