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Finding the Fourth Proportional to 65,499, 90,388.62 and 35,691

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Solution

The fourth proportional to 65,499, 90,388.62 and 35,691 is: 49,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,499 : 90,388.62 = 35,691 : x
  2. Step 2: Convert to fraction form
    65,499/90,388.62 = 35,691/x
  3. Step 3: Cross multiply
    65,499x = 90,388.62 × 35,691
  4. Step 4: Simplify right side
    65,499x = 3,226,060,236.42
  5. Step 5: Solve for x
    x = 3,226,060,236.42/65,499
  6. Step 6: Final answer
    x = 49,253.58

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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.