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Finding the Fourth Proportional to 255,889.49, 383,748.64 and 85,071.83

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Solution

The fourth proportional to 255,889.49, 383,748.64 and 85,071.83 is: 127,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,889.49 : 383,748.64 = 85,071.83 : x
  2. Step 2: Convert to fraction form
    255,889.49/383,748.64 = 85,071.83/x
  3. Step 3: Cross multiply
    255,889.49x = 383,748.64 × 85,071.83
  4. Step 4: Simplify right side
    255,889.49x = 32,646,196,933.39
  5. Step 5: Solve for x
    x = 32,646,196,933.39/255,889.49
  6. Step 6: Final answer
    x = 127,579.28

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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.