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Finding the Fourth Proportional to 255,541.56, 383,298.54 and 78,034.78

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Solution

The fourth proportional to 255,541.56, 383,298.54 and 78,034.78 is: 117,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,541.56 : 383,298.54 = 78,034.78 : x
  2. Step 2: Convert to fraction form
    255,541.56/383,298.54 = 78,034.78/x
  3. Step 3: Cross multiply
    255,541.56x = 383,298.54 × 78,034.78
  4. Step 4: Simplify right side
    255,541.56x = 29,910,617,243.22
  5. Step 5: Solve for x
    x = 29,910,617,243.22/255,541.56
  6. Step 6: Final answer
    x = 117,047.96

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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.