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Finding the Fourth Proportional to 90,452.64, 135,020.13 and 83,782.26

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Solution

The fourth proportional to 90,452.64, 135,020.13 and 83,782.26 is: 125,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,452.64 : 135,020.13 = 83,782.26 : x
  2. Step 2: Convert to fraction form
    90,452.64/135,020.13 = 83,782.26/x
  3. Step 3: Cross multiply
    90,452.64x = 135,020.13 × 83,782.26
  4. Step 4: Simplify right side
    90,452.64x = 11,312,291,636.89
  5. Step 5: Solve for x
    x = 11,312,291,636.89/90,452.64
  6. Step 6: Final answer
    x = 125,063.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.