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Finding the Fourth Proportional to 141,987.52, 195,907.82 and 86,782.86

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Solution

The fourth proportional to 141,987.52, 195,907.82 and 86,782.86 is: 119,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,987.52 : 195,907.82 = 86,782.86 : x
  2. Step 2: Convert to fraction form
    141,987.52/195,907.82 = 86,782.86/x
  3. Step 3: Cross multiply
    141,987.52x = 195,907.82 × 86,782.86
  4. Step 4: Simplify right side
    141,987.52x = 17,001,439,655.56
  5. Step 5: Solve for x
    x = 17,001,439,655.56/141,987.52
  6. Step 6: Final answer
    x = 119,738.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.