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Finding the Fourth Proportional to 139,722.18, 209,582.24 and 39,882.30

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Solution

The fourth proportional to 139,722.18, 209,582.24 and 39,882.30 is: 59,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,722.18 : 209,582.24 = 39,882.30 : x
  2. Step 2: Convert to fraction form
    139,722.18/209,582.24 = 39,882.30/x
  3. Step 3: Cross multiply
    139,722.18x = 209,582.24 × 39,882.30
  4. Step 4: Simplify right side
    139,722.18x = 8,358,621,570.94
  5. Step 5: Solve for x
    x = 8,358,621,570.94/139,722.18
  6. Step 6: Final answer
    x = 59,823.15

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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.