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Finding the Fourth Proportional to 256,019.76, 384,029.84 and 87,541.36

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Solution

The fourth proportional to 256,019.76, 384,029.84 and 87,541.36 is: 131,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,019.76 : 384,029.84 = 87,541.36 : x
  2. Step 2: Convert to fraction form
    256,019.76/384,029.84 = 87,541.36/x
  3. Step 3: Cross multiply
    256,019.76x = 384,029.84 × 87,541.36
  4. Step 4: Simplify right side
    256,019.76x = 33,618,494,474.18
  5. Step 5: Solve for x
    x = 33,618,494,474.18/256,019.76
  6. Step 6: Final answer
    x = 131,312.11

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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.