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Finding the Fourth Proportional to 208,534.04, 312,735 and 75,396.68

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Solution

The fourth proportional to 208,534.04, 312,735 and 75,396.68 is: 113,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,534.04 : 312,735 = 75,396.68 : x
  2. Step 2: Convert to fraction form
    208,534.04/312,735 = 75,396.68/x
  3. Step 3: Cross multiply
    208,534.04x = 312,735 × 75,396.68
  4. Step 4: Simplify right side
    208,534.04x = 23,579,180,719.80
  5. Step 5: Solve for x
    x = 23,579,180,719.80/208,534.04
  6. Step 6: Final answer
    x = 113,071.14

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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.