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Finding the Fourth Proportional to 256,021.83, 384,095.07 and 85,243.10

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Solution

The fourth proportional to 256,021.83, 384,095.07 and 85,243.10 is: 127,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,021.83 : 384,095.07 = 85,243.10 : x
  2. Step 2: Convert to fraction form
    256,021.83/384,095.07 = 85,243.10/x
  3. Step 3: Cross multiply
    256,021.83x = 384,095.07 × 85,243.10
  4. Step 4: Simplify right side
    256,021.83x = 32,741,452,541.04
  5. Step 5: Solve for x
    x = 32,741,452,541.04/256,021.83
  6. Step 6: Final answer
    x = 127,885.39

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1.5x scale

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.