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Finding the Fourth Proportional to 282,445.75, 423,668.25 and 72,083.68

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Solution

The fourth proportional to 282,445.75, 423,668.25 and 72,083.68 is: 108,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,445.75 : 423,668.25 = 72,083.68 : x
  2. Step 2: Convert to fraction form
    282,445.75/423,668.25 = 72,083.68/x
  3. Step 3: Cross multiply
    282,445.75x = 423,668.25 × 72,083.68
  4. Step 4: Simplify right side
    282,445.75x = 30,539,566,559.16
  5. Step 5: Solve for x
    x = 30,539,566,559.16/282,445.75
  6. Step 6: Final answer
    x = 108,125.42

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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.