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Finding the Fourth Proportional to 256,657.01, 385,006.06 and 76,729.28

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Solution

The fourth proportional to 256,657.01, 385,006.06 and 76,729.28 is: 115,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,657.01 : 385,006.06 = 76,729.28 : x
  2. Step 2: Convert to fraction form
    256,657.01/385,006.06 = 76,729.28/x
  3. Step 3: Cross multiply
    256,657.01x = 385,006.06 × 76,729.28
  4. Step 4: Simplify right side
    256,657.01x = 29,541,235,950.32
  5. Step 5: Solve for x
    x = 29,541,235,950.32/256,657.01
  6. Step 6: Final answer
    x = 115,100.06

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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.