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Finding the Fourth Proportional to 255,366.21, 383,048.28 and 77,872.70

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Solution

The fourth proportional to 255,366.21, 383,048.28 and 77,872.70 is: 116,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,366.21 : 383,048.28 = 77,872.70 : x
  2. Step 2: Convert to fraction form
    255,366.21/383,048.28 = 77,872.70/x
  3. Step 3: Cross multiply
    255,366.21x = 383,048.28 × 77,872.70
  4. Step 4: Simplify right side
    255,366.21x = 29,829,003,793.96
  5. Step 5: Solve for x
    x = 29,829,003,793.96/255,366.21
  6. Step 6: Final answer
    x = 116,808.74

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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.