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Finding the Fourth Proportional to 90,207.84, 135,311.70 and 56,978.40

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Solution

The fourth proportional to 90,207.84, 135,311.70 and 56,978.40 is: 85,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,207.84 : 135,311.70 = 56,978.40 : x
  2. Step 2: Convert to fraction form
    90,207.84/135,311.70 = 56,978.40/x
  3. Step 3: Cross multiply
    90,207.84x = 135,311.70 × 56,978.40
  4. Step 4: Simplify right side
    90,207.84x = 7,709,844,167.28
  5. Step 5: Solve for x
    x = 7,709,844,167.28/90,207.84
  6. Step 6: Final answer
    x = 85,467.56

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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.