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Finding the Fourth Proportional to 139,070.50, 208,465.05 and 54,797.90

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Solution

The fourth proportional to 139,070.50, 208,465.05 and 54,797.90 is: 82,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,070.50 : 208,465.05 = 54,797.90 : x
  2. Step 2: Convert to fraction form
    139,070.50/208,465.05 = 54,797.90/x
  3. Step 3: Cross multiply
    139,070.50x = 208,465.05 × 54,797.90
  4. Step 4: Simplify right side
    139,070.50x = 11,423,446,126.56
  5. Step 5: Solve for x
    x = 11,423,446,126.56/139,070.50
  6. Step 6: Final answer
    x = 82,141.41

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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.