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Finding the Fourth Proportional to 139,635.30, 209,461.05 and 39,802.80

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Solution

The fourth proportional to 139,635.30, 209,461.05 and 39,802.80 is: 59,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,635.30 : 209,461.05 = 39,802.80 : x
  2. Step 2: Convert to fraction form
    139,635.30/209,461.05 = 39,802.80/x
  3. Step 3: Cross multiply
    139,635.30x = 209,461.05 × 39,802.80
  4. Step 4: Simplify right side
    139,635.30x = 8,337,136,280.94
  5. Step 5: Solve for x
    x = 8,337,136,280.94/139,635.30
  6. Step 6: Final answer
    x = 59,706.51

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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.