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Finding the Fourth Proportional to 221,490.40, 305,685.96 and 125,978.66

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Solution

The fourth proportional to 221,490.40, 305,685.96 and 125,978.66 is: 173,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,490.40 : 305,685.96 = 125,978.66 : x
  2. Step 2: Convert to fraction form
    221,490.40/305,685.96 = 125,978.66/x
  3. Step 3: Cross multiply
    221,490.40x = 305,685.96 × 125,978.66
  4. Step 4: Simplify right side
    221,490.40x = 38,509,907,621.61
  5. Step 5: Solve for x
    x = 38,509,907,621.61/221,490.40
  6. Step 6: Final answer
    x = 173,867.16

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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.