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Finding the Fourth Proportional to 65,343, 90,173.34 and 35,535

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Solution

The fourth proportional to 65,343, 90,173.34 and 35,535 is: 49,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,343 : 90,173.34 = 35,535 : x
  2. Step 2: Convert to fraction form
    65,343/90,173.34 = 35,535/x
  3. Step 3: Cross multiply
    65,343x = 90,173.34 × 35,535
  4. Step 4: Simplify right side
    65,343x = 3,204,309,636.90
  5. Step 5: Solve for x
    x = 3,204,309,636.90/65,343
  6. Step 6: Final answer
    x = 49,038.30

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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.