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Finding the Fourth Proportional to 216,573.23, 324,915.21 and 83,417.74

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Solution

The fourth proportional to 216,573.23, 324,915.21 and 83,417.74 is: 125,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,573.23 : 324,915.21 = 83,417.74 : x
  2. Step 2: Convert to fraction form
    216,573.23/324,915.21 = 83,417.74/x
  3. Step 3: Cross multiply
    216,573.23x = 324,915.21 × 83,417.74
  4. Step 4: Simplify right side
    216,573.23x = 27,103,691,697.54
  5. Step 5: Solve for x
    x = 27,103,691,697.54/216,573.23
  6. Step 6: Final answer
    x = 125,147.93

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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.