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Finding the Fourth Proportional to 65,712.44, 90,683.16 and 35,497.76

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Solution

The fourth proportional to 65,712.44, 90,683.16 and 35,497.76 is: 48,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712.44 : 90,683.16 = 35,497.76 : x
  2. Step 2: Convert to fraction form
    65,712.44/90,683.16 = 35,497.76/x
  3. Step 3: Cross multiply
    65,712.44x = 90,683.16 × 35,497.76
  4. Step 4: Simplify right side
    65,712.44x = 3,219,049,049.72
  5. Step 5: Solve for x
    x = 3,219,049,049.72/65,712.44
  6. Step 6: Final answer
    x = 48,986.90

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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.