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Finding the Fourth Proportional to 65,968, 91,035.84 and 36,159.36

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Solution

The fourth proportional to 65,968, 91,035.84 and 36,159.36 is: 49,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,968 : 91,035.84 = 36,159.36 : x
  2. Step 2: Convert to fraction form
    65,968/91,035.84 = 36,159.36/x
  3. Step 3: Cross multiply
    65,968x = 91,035.84 × 36,159.36
  4. Step 4: Simplify right side
    65,968x = 3,291,797,711.46
  5. Step 5: Solve for x
    x = 3,291,797,711.46/65,968
  6. Step 6: Final answer
    x = 49,899.92

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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.