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Finding the Fourth Proportional to 125,595.98, 188,553.89 and 81,407.64

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Solution

The fourth proportional to 125,595.98, 188,553.89 and 81,407.64 is: 122,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,595.98 : 188,553.89 = 81,407.64 : x
  2. Step 2: Convert to fraction form
    125,595.98/188,553.89 = 81,407.64/x
  3. Step 3: Cross multiply
    125,595.98x = 188,553.89 × 81,407.64
  4. Step 4: Simplify right side
    125,595.98x = 15,349,728,108.32
  5. Step 5: Solve for x
    x = 15,349,728,108.32/125,595.98
  6. Step 6: Final answer
    x = 122,215.12

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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.