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Finding the Fourth Proportional to 65,508.38, 90,416.14 and 41,630.40

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Solution

The fourth proportional to 65,508.38, 90,416.14 and 41,630.40 is: 57,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,508.38 : 90,416.14 = 41,630.40 : x
  2. Step 2: Convert to fraction form
    65,508.38/90,416.14 = 41,630.40/x
  3. Step 3: Cross multiply
    65,508.38x = 90,416.14 × 41,630.40
  4. Step 4: Simplify right side
    65,508.38x = 3,764,060,074.66
  5. Step 5: Solve for x
    x = 3,764,060,074.66/65,508.38
  6. Step 6: Final answer
    x = 57,459.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.