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Finding the Fourth Proportional to 255,931.20, 383,896.80 and 113,776.20

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Solution

The fourth proportional to 255,931.20, 383,896.80 and 113,776.20 is: 170,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,931.20 : 383,896.80 = 113,776.20 : x
  2. Step 2: Convert to fraction form
    255,931.20/383,896.80 = 113,776.20/x
  3. Step 3: Cross multiply
    255,931.20x = 383,896.80 × 113,776.20
  4. Step 4: Simplify right side
    255,931.20x = 43,678,319,096.16
  5. Step 5: Solve for x
    x = 43,678,319,096.16/255,931.20
  6. Step 6: Final answer
    x = 170,664.30

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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.