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Finding the Fourth Proportional to 221,343.42, 305,468.34 and 125,859

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Solution

The fourth proportional to 221,343.42, 305,468.34 and 125,859 is: 173,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,343.42 : 305,468.34 = 125,859 : x
  2. Step 2: Convert to fraction form
    221,343.42/305,468.34 = 125,859/x
  3. Step 3: Cross multiply
    221,343.42x = 305,468.34 × 125,859
  4. Step 4: Simplify right side
    221,343.42x = 38,445,939,804.06
  5. Step 5: Solve for x
    x = 38,445,939,804.06/221,343.42
  6. Step 6: Final answer
    x = 173,693.62

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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.