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Finding the Fourth Proportional to 255,835.54, 383,754.21 and 78,341.77

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Solution

The fourth proportional to 255,835.54, 383,754.21 and 78,341.77 is: 117,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,835.54 : 383,754.21 = 78,341.77 : x
  2. Step 2: Convert to fraction form
    255,835.54/383,754.21 = 78,341.77/x
  3. Step 3: Cross multiply
    255,835.54x = 383,754.21 × 78,341.77
  4. Step 4: Simplify right side
    255,835.54x = 30,063,984,056.35
  5. Step 5: Solve for x
    x = 30,063,984,056.35/255,835.54
  6. Step 6: Final answer
    x = 117,512.93

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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.