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Finding the Fourth Proportional to 65,512.32, 90,406.80 and 35,704.32

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Solution

The fourth proportional to 65,512.32, 90,406.80 and 35,704.32 is: 49,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,512.32 : 90,406.80 = 35,704.32 : x
  2. Step 2: Convert to fraction form
    65,512.32/90,406.80 = 35,704.32/x
  3. Step 3: Cross multiply
    65,512.32x = 90,406.80 × 35,704.32
  4. Step 4: Simplify right side
    65,512.32x = 3,227,913,317.38
  5. Step 5: Solve for x
    x = 3,227,913,317.38/65,512.32
  6. Step 6: Final answer
    x = 49,271.85

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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.