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Finding the Fourth Proportional to 255,541.86, 383,371.11 and 78,074.10

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Solution

The fourth proportional to 255,541.86, 383,371.11 and 78,074.10 is: 117,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,541.86 : 383,371.11 = 78,074.10 : x
  2. Step 2: Convert to fraction form
    255,541.86/383,371.11 = 78,074.10/x
  3. Step 3: Cross multiply
    255,541.86x = 383,371.11 × 78,074.10
  4. Step 4: Simplify right side
    255,541.86x = 29,931,354,379.25
  5. Step 5: Solve for x
    x = 29,931,354,379.25/255,541.86
  6. Step 6: Final answer
    x = 117,128.97

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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.