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Finding the Fourth Proportional to 106,384.92, 159,605.01 and 39,830.28

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Solution

The fourth proportional to 106,384.92, 159,605.01 and 39,830.28 is: 59,755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,384.92 : 159,605.01 = 39,830.28 : x
  2. Step 2: Convert to fraction form
    106,384.92/159,605.01 = 39,830.28/x
  3. Step 3: Cross multiply
    106,384.92x = 159,605.01 × 39,830.28
  4. Step 4: Simplify right side
    106,384.92x = 6,357,112,237.70
  5. Step 5: Solve for x
    x = 6,357,112,237.70/106,384.92
  6. Step 6: Final answer
    x = 59,755.76

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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.