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Finding the Fourth Proportional to 209,708.52, 314,446.14 and 69,429.48

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Solution

The fourth proportional to 209,708.52, 314,446.14 and 69,429.48 is: 104,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,708.52 : 314,446.14 = 69,429.48 : x
  2. Step 2: Convert to fraction form
    209,708.52/314,446.14 = 69,429.48/x
  3. Step 3: Cross multiply
    209,708.52x = 314,446.14 × 69,429.48
  4. Step 4: Simplify right side
    209,708.52x = 21,831,831,988.21
  5. Step 5: Solve for x
    x = 21,831,831,988.21/209,708.52
  6. Step 6: Final answer
    x = 104,105.60

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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.