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Finding the Fourth Proportional to 105,806.90, 158,715.54 and 42,618.49

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Solution

The fourth proportional to 105,806.90, 158,715.54 and 42,618.49 is: 63,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,806.90 : 158,715.54 = 42,618.49 : x
  2. Step 2: Convert to fraction form
    105,806.90/158,715.54 = 42,618.49/x
  3. Step 3: Cross multiply
    105,806.90x = 158,715.54 × 42,618.49
  4. Step 4: Simplify right side
    105,806.90x = 6,764,217,387.98
  5. Step 5: Solve for x
    x = 6,764,217,387.98/105,806.90
  6. Step 6: Final answer
    x = 63,929.83

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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.