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Finding the Fourth Proportional to 216,862.68, 325,371.81 and 96,909.58

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Solution

The fourth proportional to 216,862.68, 325,371.81 and 96,909.58 is: 145,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,862.68 : 325,371.81 = 96,909.58 : x
  2. Step 2: Convert to fraction form
    216,862.68/325,371.81 = 96,909.58/x
  3. Step 3: Cross multiply
    216,862.68x = 325,371.81 × 96,909.58
  4. Step 4: Simplify right side
    216,862.68x = 31,531,643,824.08
  5. Step 5: Solve for x
    x = 31,531,643,824.08/216,862.68
  6. Step 6: Final answer
    x = 145,399.12

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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.