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Finding the Fourth Proportional to 65,080, 89,810.94 and 35,272

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Solution

The fourth proportional to 65,080, 89,810.94 and 35,272 is: 48,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,080 : 89,810.94 = 35,272 : x
  2. Step 2: Convert to fraction form
    65,080/89,810.94 = 35,272/x
  3. Step 3: Cross multiply
    65,080x = 89,810.94 × 35,272
  4. Step 4: Simplify right side
    65,080x = 3,167,811,475.68
  5. Step 5: Solve for x
    x = 3,167,811,475.68/65,080
  6. Step 6: Final answer
    x = 48,675.65

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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.