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Finding the Fourth Proportional to 256,822.45, 385,304.55 and 107,133.10

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Solution

The fourth proportional to 256,822.45, 385,304.55 and 107,133.10 is: 160,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,822.45 : 385,304.55 = 107,133.10 : x
  2. Step 2: Convert to fraction form
    256,822.45/385,304.55 = 107,133.10/x
  3. Step 3: Cross multiply
    256,822.45x = 385,304.55 × 107,133.10
  4. Step 4: Simplify right side
    256,822.45x = 41,278,870,885.61
  5. Step 5: Solve for x
    x = 41,278,870,885.61/256,822.45
  6. Step 6: Final answer
    x = 160,729.22

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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.