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Finding the Fourth Proportional to 139,230.23, 208,869.03 and 54,946.29

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Solution

The fourth proportional to 139,230.23, 208,869.03 and 54,946.29 is: 82,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,230.23 : 208,869.03 = 54,946.29 : x
  2. Step 2: Convert to fraction form
    139,230.23/208,869.03 = 54,946.29/x
  3. Step 3: Cross multiply
    139,230.23x = 208,869.03 × 54,946.29
  4. Step 4: Simplify right side
    139,230.23x = 11,476,578,294.40
  5. Step 5: Solve for x
    x = 11,476,578,294.40/139,230.23
  6. Step 6: Final answer
    x = 82,428.79

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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.