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Finding the Fourth Proportional to 255,993.74, 383,996.14 and 78,496.82

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Solution

The fourth proportional to 255,993.74, 383,996.14 and 78,496.82 is: 117,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,993.74 : 383,996.14 = 78,496.82 : x
  2. Step 2: Convert to fraction form
    255,993.74/383,996.14 = 78,496.82/x
  3. Step 3: Cross multiply
    255,993.74x = 383,996.14 × 78,496.82
  4. Step 4: Simplify right side
    255,993.74x = 30,142,475,882.27
  5. Step 5: Solve for x
    x = 30,142,475,882.27/255,993.74
  6. Step 6: Final answer
    x = 117,746.93

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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.