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Finding the Fourth Proportional to 81,411.74, 112,348.20 and 49,580.64

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Solution

The fourth proportional to 81,411.74, 112,348.20 and 49,580.64 is: 68,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411.74 : 112,348.20 = 49,580.64 : x
  2. Step 2: Convert to fraction form
    81,411.74/112,348.20 = 49,580.64/x
  3. Step 3: Cross multiply
    81,411.74x = 112,348.20 × 49,580.64
  4. Step 4: Simplify right side
    81,411.74x = 5,570,295,658.85
  5. Step 5: Solve for x
    x = 5,570,295,658.85/81,411.74
  6. Step 6: Final answer
    x = 68,421.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.