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Finding the Fourth Proportional to 83,453, 115,166.64 and 45,213.32

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Solution

The fourth proportional to 83,453, 115,166.64 and 45,213.32 is: 62,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,453 : 115,166.64 = 45,213.32 : x
  2. Step 2: Convert to fraction form
    83,453/115,166.64 = 45,213.32/x
  3. Step 3: Cross multiply
    83,453x = 115,166.64 × 45,213.32
  4. Step 4: Simplify right side
    83,453x = 5,207,066,147.64
  5. Step 5: Solve for x
    x = 5,207,066,147.64/83,453
  6. Step 6: Final answer
    x = 62,395.19

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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.