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Finding the Fourth Proportional to 139,752.90, 192,853.82 and 76,089.42

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Solution

The fourth proportional to 139,752.90, 192,853.82 and 76,089.42 is: 105,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,752.90 : 192,853.82 = 76,089.42 : x
  2. Step 2: Convert to fraction form
    139,752.90/192,853.82 = 76,089.42/x
  3. Step 3: Cross multiply
    139,752.90x = 192,853.82 × 76,089.42
  4. Step 4: Simplify right side
    139,752.90x = 14,674,135,308.58
  5. Step 5: Solve for x
    x = 14,674,135,308.58/139,752.90
  6. Step 6: Final answer
    x = 105,000.58

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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.