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Finding the Fourth Proportional to 139,761.90, 209,729.25 and 56,656.62

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Solution

The fourth proportional to 139,761.90, 209,729.25 and 56,656.62 is: 85,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,761.90 : 209,729.25 = 56,656.62 : x
  2. Step 2: Convert to fraction form
    139,761.90/209,729.25 = 56,656.62/x
  3. Step 3: Cross multiply
    139,761.90x = 209,729.25 × 56,656.62
  4. Step 4: Simplify right side
    139,761.90x = 11,882,550,420.14
  5. Step 5: Solve for x
    x = 11,882,550,420.14/139,761.90
  6. Step 6: Final answer
    x = 85,019.95

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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.