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Finding the Fourth Proportional to 139,019.40, 208,529.10 and 82,922.85

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Solution

The fourth proportional to 139,019.40, 208,529.10 and 82,922.85 is: 124,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,019.40 : 208,529.10 = 82,922.85 : x
  2. Step 2: Convert to fraction form
    139,019.40/208,529.10 = 82,922.85/x
  3. Step 3: Cross multiply
    139,019.40x = 208,529.10 × 82,922.85
  4. Step 4: Simplify right side
    139,019.40x = 17,291,827,279.94
  5. Step 5: Solve for x
    x = 17,291,827,279.94/139,019.40
  6. Step 6: Final answer
    x = 124,384.28

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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.