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Finding the Fourth Proportional to 90,525.60, 135,738.84 and 31,356.24

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Solution

The fourth proportional to 90,525.60, 135,738.84 and 31,356.24 is: 47,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,525.60 : 135,738.84 = 31,356.24 : x
  2. Step 2: Convert to fraction form
    90,525.60/135,738.84 = 31,356.24/x
  3. Step 3: Cross multiply
    90,525.60x = 135,738.84 × 31,356.24
  4. Step 4: Simplify right side
    90,525.60x = 4,256,259,644.36
  5. Step 5: Solve for x
    x = 4,256,259,644.36/90,525.60
  6. Step 6: Final answer
    x = 47,017.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.