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Finding the Fourth Proportional to 275,807.74, 413,735.36 and 76,128.16

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Solution

The fourth proportional to 275,807.74, 413,735.36 and 76,128.16 is: 114,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,807.74 : 413,735.36 = 76,128.16 : x
  2. Step 2: Convert to fraction form
    275,807.74/413,735.36 = 76,128.16/x
  3. Step 3: Cross multiply
    275,807.74x = 413,735.36 × 76,128.16
  4. Step 4: Simplify right side
    275,807.74x = 31,496,911,683.74
  5. Step 5: Solve for x
    x = 31,496,911,683.74/275,807.74
  6. Step 6: Final answer
    x = 114,198.80

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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.