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Finding the Fourth Proportional to 139,588.53, 209,384.10 and 39,748.65

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Solution

The fourth proportional to 139,588.53, 209,384.10 and 39,748.65 is: 59,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,588.53 : 209,384.10 = 39,748.65 : x
  2. Step 2: Convert to fraction form
    139,588.53/209,384.10 = 39,748.65/x
  3. Step 3: Cross multiply
    139,588.53x = 209,384.10 × 39,748.65
  4. Step 4: Simplify right side
    139,588.53x = 8,322,735,306.47
  5. Step 5: Solve for x
    x = 8,322,735,306.47/139,588.53
  6. Step 6: Final answer
    x = 59,623.35

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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.