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Finding the Fourth Proportional to 221,407.66, 305,549.31 and 125,928.10

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Solution

The fourth proportional to 221,407.66, 305,549.31 and 125,928.10 is: 173,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,407.66 : 305,549.31 = 125,928.10 : x
  2. Step 2: Convert to fraction form
    221,407.66/305,549.31 = 125,928.10/x
  3. Step 3: Cross multiply
    221,407.66x = 305,549.31 × 125,928.10
  4. Step 4: Simplify right side
    221,407.66x = 38,477,244,064.61
  5. Step 5: Solve for x
    x = 38,477,244,064.61/221,407.66
  6. Step 6: Final answer
    x = 173,784.61

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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.