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Finding the Fourth Proportional to 90,549.60, 135,736.92 and 31,340.76

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Solution

The fourth proportional to 90,549.60, 135,736.92 and 31,340.76 is: 46,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,549.60 : 135,736.92 = 31,340.76 : x
  2. Step 2: Convert to fraction form
    90,549.60/135,736.92 = 31,340.76/x
  3. Step 3: Cross multiply
    90,549.60x = 135,736.92 × 31,340.76
  4. Step 4: Simplify right side
    90,549.60x = 4,254,098,232.86
  5. Step 5: Solve for x
    x = 4,254,098,232.86/90,549.60
  6. Step 6: Final answer
    x = 46,980.86

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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.