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Finding the Fourth Proportional to 65,796, 90,799.20 and 35,988

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Solution

The fourth proportional to 65,796, 90,799.20 and 35,988 is: 49,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,796 : 90,799.20 = 35,988 : x
  2. Step 2: Convert to fraction form
    65,796/90,799.20 = 35,988/x
  3. Step 3: Cross multiply
    65,796x = 90,799.20 × 35,988
  4. Step 4: Simplify right side
    65,796x = 3,267,681,609.60
  5. Step 5: Solve for x
    x = 3,267,681,609.60/65,796
  6. Step 6: Final answer
    x = 49,663.83

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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.