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Finding the Fourth Proportional to 65,707.70, 90,676.66 and 35,493.02

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Solution

The fourth proportional to 65,707.70, 90,676.66 and 35,493.02 is: 48,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,707.70 : 90,676.66 = 35,493.02 : x
  2. Step 2: Convert to fraction form
    65,707.70/90,676.66 = 35,493.02/x
  3. Step 3: Cross multiply
    65,707.70x = 90,676.66 × 35,493.02
  4. Step 4: Simplify right side
    65,707.70x = 3,218,388,664.63
  5. Step 5: Solve for x
    x = 3,218,388,664.63/65,707.70
  6. Step 6: Final answer
    x = 48,980.39

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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.