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Finding the Fourth Proportional to 65,318, 90,139.48 and 35,510.64

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Solution

The fourth proportional to 65,318, 90,139.48 and 35,510.64 is: 49,005.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,318 : 90,139.48 = 35,510.64 : x
  2. Step 2: Convert to fraction form
    65,318/90,139.48 = 35,510.64/x
  3. Step 3: Cross multiply
    65,318x = 90,139.48 × 35,510.64
  4. Step 4: Simplify right side
    65,318x = 3,200,910,624.07
  5. Step 5: Solve for x
    x = 3,200,910,624.07/65,318
  6. Step 6: Final answer
    x = 49,005.03

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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.