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Finding the Fourth Proportional to 76,825.50, 106,048.35 and 51,689.58

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Solution

The fourth proportional to 76,825.50, 106,048.35 and 51,689.58 is: 71,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,825.50 : 106,048.35 = 51,689.58 : x
  2. Step 2: Convert to fraction form
    76,825.50/106,048.35 = 51,689.58/x
  3. Step 3: Cross multiply
    76,825.50x = 106,048.35 × 51,689.58
  4. Step 4: Simplify right side
    76,825.50x = 5,481,594,671.19
  5. Step 5: Solve for x
    x = 5,481,594,671.19/76,825.50
  6. Step 6: Final answer
    x = 71,351.24

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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.