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Finding the Fourth Proportional to 139,314.20, 208,971.29 and 56,149.88

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Solution

The fourth proportional to 139,314.20, 208,971.29 and 56,149.88 is: 84,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,314.20 : 208,971.29 = 56,149.88 : x
  2. Step 2: Convert to fraction form
    139,314.20/208,971.29 = 56,149.88/x
  3. Step 3: Cross multiply
    139,314.20x = 208,971.29 × 56,149.88
  4. Step 4: Simplify right side
    139,314.20x = 11,733,711,952.46
  5. Step 5: Solve for x
    x = 11,733,711,952.46/139,314.20
  6. Step 6: Final answer
    x = 84,224.81

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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.