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Finding the Fourth Proportional to 216,784.80, 325,233.90 and 83,669.40

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Solution

The fourth proportional to 216,784.80, 325,233.90 and 83,669.40 is: 125,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,784.80 : 325,233.90 = 83,669.40 : x
  2. Step 2: Convert to fraction form
    216,784.80/325,233.90 = 83,669.40/x
  3. Step 3: Cross multiply
    216,784.80x = 325,233.90 × 83,669.40
  4. Step 4: Simplify right side
    216,784.80x = 27,212,125,272.66
  5. Step 5: Solve for x
    x = 27,212,125,272.66/216,784.80
  6. Step 6: Final answer
    x = 125,525.98

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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.