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Finding the Fourth Proportional to 65,730, 90,709.64 and 35,923.92

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Solution

The fourth proportional to 65,730, 90,709.64 and 35,923.92 is: 49,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,730 : 90,709.64 = 35,923.92 : x
  2. Step 2: Convert to fraction form
    65,730/90,709.64 = 35,923.92/x
  3. Step 3: Cross multiply
    65,730x = 90,709.64 × 35,923.92
  4. Step 4: Simplify right side
    65,730x = 3,258,645,850.59
  5. Step 5: Solve for x
    x = 3,258,645,850.59/65,730
  6. Step 6: Final answer
    x = 49,576.23

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