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Finding the Fourth Proportional to 65,417, 90,275.46 and 35,609

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Solution

The fourth proportional to 65,417, 90,275.46 and 35,609 is: 49,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,417 : 90,275.46 = 35,609 : x
  2. Step 2: Convert to fraction form
    65,417/90,275.46 = 35,609/x
  3. Step 3: Cross multiply
    65,417x = 90,275.46 × 35,609
  4. Step 4: Simplify right side
    65,417x = 3,214,618,855.14
  5. Step 5: Solve for x
    x = 3,214,618,855.14/65,417
  6. Step 6: Final answer
    x = 49,140.42

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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.