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Finding the Fourth Proportional to 90,193.90, 135,337.54 and 65,438.28

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Solution

The fourth proportional to 90,193.90, 135,337.54 and 65,438.28 is: 98,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,193.90 : 135,337.54 = 65,438.28 : x
  2. Step 2: Convert to fraction form
    90,193.90/135,337.54 = 65,438.28/x
  3. Step 3: Cross multiply
    90,193.90x = 135,337.54 × 65,438.28
  4. Step 4: Simplify right side
    90,193.90x = 8,856,254,833.15
  5. Step 5: Solve for x
    x = 8,856,254,833.15/90,193.90
  6. Step 6: Final answer
    x = 98,191.28

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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.