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Finding the Fourth Proportional to 255,633.78, 383,451.66 and 78,140.10

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Solution

The fourth proportional to 255,633.78, 383,451.66 and 78,140.10 is: 117,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,633.78 : 383,451.66 = 78,140.10 : x
  2. Step 2: Convert to fraction form
    255,633.78/383,451.66 = 78,140.10/x
  3. Step 3: Cross multiply
    255,633.78x = 383,451.66 × 78,140.10
  4. Step 4: Simplify right side
    255,633.78x = 29,962,951,057.57
  5. Step 5: Solve for x
    x = 29,962,951,057.57/255,633.78
  6. Step 6: Final answer
    x = 117,210.45

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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.