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Finding the Fourth Proportional to 216,862.76, 325,044.54 and 83,684.12

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Solution

The fourth proportional to 216,862.76, 325,044.54 and 83,684.12 is: 125,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,862.76 : 325,044.54 = 83,684.12 : x
  2. Step 2: Convert to fraction form
    216,862.76/325,044.54 = 83,684.12/x
  3. Step 3: Cross multiply
    216,862.76x = 325,044.54 × 83,684.12
  4. Step 4: Simplify right side
    216,862.76x = 27,201,066,290.70
  5. Step 5: Solve for x
    x = 27,201,066,290.70/216,862.76
  6. Step 6: Final answer
    x = 125,429.86

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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.