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Finding the Fourth Proportional to 95,076.81, 142,619.82 and 78,406.40

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Solution

The fourth proportional to 95,076.81, 142,619.82 and 78,406.40 is: 117,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,076.81 : 142,619.82 = 78,406.40 : x
  2. Step 2: Convert to fraction form
    95,076.81/142,619.82 = 78,406.40/x
  3. Step 3: Cross multiply
    95,076.81x = 142,619.82 × 78,406.40
  4. Step 4: Simplify right side
    95,076.81x = 11,182,306,654.85
  5. Step 5: Solve for x
    x = 11,182,306,654.85/95,076.81
  6. Step 6: Final answer
    x = 117,613.40

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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.