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Finding the Fourth Proportional to 139,968.76, 209,952.28 and 51,228.40

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Solution

The fourth proportional to 139,968.76, 209,952.28 and 51,228.40 is: 76,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968.76 : 209,952.28 = 51,228.40 : x
  2. Step 2: Convert to fraction form
    139,968.76/209,952.28 = 51,228.40/x
  3. Step 3: Cross multiply
    139,968.76x = 209,952.28 × 51,228.40
  4. Step 4: Simplify right side
    139,968.76x = 10,755,519,380.75
  5. Step 5: Solve for x
    x = 10,755,519,380.75/139,968.76
  6. Step 6: Final answer
    x = 76,842.29

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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.