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Finding the Fourth Proportional to 221,409, 305,542.80 and 125,915.58

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Solution

The fourth proportional to 221,409, 305,542.80 and 125,915.58 is: 173,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,409 : 305,542.80 = 125,915.58 : x
  2. Step 2: Convert to fraction form
    221,409/305,542.80 = 125,915.58/x
  3. Step 3: Cross multiply
    221,409x = 305,542.80 × 125,915.58
  4. Step 4: Simplify right side
    221,409x = 38,472,598,876.82
  5. Step 5: Solve for x
    x = 38,472,598,876.82/221,409
  6. Step 6: Final answer
    x = 173,762.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.