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Finding the Fourth Proportional to 255,671.08, 383,506.65 and 78,178.10

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Solution

The fourth proportional to 255,671.08, 383,506.65 and 78,178.10 is: 117,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,671.08 : 383,506.65 = 78,178.10 : x
  2. Step 2: Convert to fraction form
    255,671.08/383,506.65 = 78,178.10/x
  3. Step 3: Cross multiply
    255,671.08x = 383,506.65 × 78,178.10
  4. Step 4: Simplify right side
    255,671.08x = 29,981,819,316.83
  5. Step 5: Solve for x
    x = 29,981,819,316.83/255,671.08
  6. Step 6: Final answer
    x = 117,267.15

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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.