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Finding the Fourth Proportional to 125,398.56, 188,150.60 and 78,053.24

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Solution

The fourth proportional to 125,398.56, 188,150.60 and 78,053.24 is: 117,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,398.56 : 188,150.60 = 78,053.24 : x
  2. Step 2: Convert to fraction form
    125,398.56/188,150.60 = 78,053.24/x
  3. Step 3: Cross multiply
    125,398.56x = 188,150.60 × 78,053.24
  4. Step 4: Simplify right side
    125,398.56x = 14,685,763,937.94
  5. Step 5: Solve for x
    x = 14,685,763,937.94/125,398.56
  6. Step 6: Final answer
    x = 117,112.70

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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.