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Finding the Fourth Proportional to 255,732.75, 383,585.16 and 78,239.76

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Solution

The fourth proportional to 255,732.75, 383,585.16 and 78,239.76 is: 117,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,732.75 : 383,585.16 = 78,239.76 : x
  2. Step 2: Convert to fraction form
    255,732.75/383,585.16 = 78,239.76/x
  3. Step 3: Cross multiply
    255,732.75x = 383,585.16 × 78,239.76
  4. Step 4: Simplify right side
    255,732.75x = 30,011,610,857.96
  5. Step 5: Solve for x
    x = 30,011,610,857.96/255,732.75
  6. Step 6: Final answer
    x = 117,355.37

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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.