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Finding the Fourth Proportional to 208,537.80, 312,806.70 and 119,964.30

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Solution

The fourth proportional to 208,537.80, 312,806.70 and 119,964.30 is: 179,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,537.80 : 312,806.70 = 119,964.30 : x
  2. Step 2: Convert to fraction form
    208,537.80/312,806.70 = 119,964.30/x
  3. Step 3: Cross multiply
    208,537.80x = 312,806.70 × 119,964.30
  4. Step 4: Simplify right side
    208,537.80x = 37,525,636,800.81
  5. Step 5: Solve for x
    x = 37,525,636,800.81/208,537.80
  6. Step 6: Final answer
    x = 179,946.45

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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.