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Finding the Fourth Proportional to 65,033.17, 89,719.21 and 51,550.31

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Solution

The fourth proportional to 65,033.17, 89,719.21 and 51,550.31 is: 71,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,033.17 : 89,719.21 = 51,550.31 : x
  2. Step 2: Convert to fraction form
    65,033.17/89,719.21 = 51,550.31/x
  3. Step 3: Cross multiply
    65,033.17x = 89,719.21 × 51,550.31
  4. Step 4: Simplify right side
    65,033.17x = 4,625,053,377.19
  5. Step 5: Solve for x
    x = 4,625,053,377.19/65,033.17
  6. Step 6: Final answer
    x = 71,118.38

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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.