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Finding the Fourth Proportional to 65,934.48, 90,989.64 and 36,126.48

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Solution

The fourth proportional to 65,934.48, 90,989.64 and 36,126.48 is: 49,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,934.48 : 90,989.64 = 36,126.48 : x
  2. Step 2: Convert to fraction form
    65,934.48/90,989.64 = 36,126.48/x
  3. Step 3: Cross multiply
    65,934.48x = 90,989.64 × 36,126.48
  4. Step 4: Simplify right side
    65,934.48x = 3,287,135,409.67
  5. Step 5: Solve for x
    x = 3,287,135,409.67/65,934.48
  6. Step 6: Final answer
    x = 49,854.57

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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.