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Finding the Fourth Proportional to 256,013.12, 383,985.96 and 76,094.71

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Solution

The fourth proportional to 256,013.12, 383,985.96 and 76,094.71 is: 114,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,013.12 : 383,985.96 = 76,094.71 : x
  2. Step 2: Convert to fraction form
    256,013.12/383,985.96 = 76,094.71/x
  3. Step 3: Cross multiply
    256,013.12x = 383,985.96 × 76,094.71
  4. Step 4: Simplify right side
    256,013.12x = 29,219,300,270.27
  5. Step 5: Solve for x
    x = 29,219,300,270.27/256,013.12
  6. Step 6: Final answer
    x = 114,132.04

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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.