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Finding the Fourth Proportional to 123,853.88, 185,852.32 and 66,927.98

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Solution

The fourth proportional to 123,853.88, 185,852.32 and 66,927.98 is: 100,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,853.88 : 185,852.32 = 66,927.98 : x
  2. Step 2: Convert to fraction form
    123,853.88/185,852.32 = 66,927.98/x
  3. Step 3: Cross multiply
    123,853.88x = 185,852.32 × 66,927.98
  4. Step 4: Simplify right side
    123,853.88x = 12,438,720,355.91
  5. Step 5: Solve for x
    x = 12,438,720,355.91/123,853.88
  6. Step 6: Final answer
    x = 100,430.61

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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.