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Finding the Fourth Proportional to 90,690.84, 135,810 and 57,310.20

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Solution

The fourth proportional to 90,690.84, 135,810 and 57,310.20 is: 85,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,690.84 : 135,810 = 57,310.20 : x
  2. Step 2: Convert to fraction form
    90,690.84/135,810 = 57,310.20/x
  3. Step 3: Cross multiply
    90,690.84x = 135,810 × 57,310.20
  4. Step 4: Simplify right side
    90,690.84x = 7,783,298,262
  5. Step 5: Solve for x
    x = 7,783,298,262/90,690.84
  6. Step 6: Final answer
    x = 85,822.32

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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.