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Finding the Fourth Proportional to 216,575.75, 324,918.98 and 83,420.25

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Solution

The fourth proportional to 216,575.75, 324,918.98 and 83,420.25 is: 125,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,575.75 : 324,918.98 = 83,420.25 : x
  2. Step 2: Convert to fraction form
    216,575.75/324,918.98 = 83,420.25/x
  3. Step 3: Cross multiply
    216,575.75x = 324,918.98 × 83,420.25
  4. Step 4: Simplify right side
    216,575.75x = 27,104,822,749.90
  5. Step 5: Solve for x
    x = 27,104,822,749.90/216,575.75
  6. Step 6: Final answer
    x = 125,151.70

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1.5x scale

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.