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Finding the Fourth Proportional to 65,468.86, 90,344.49 and 40,017.84

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Solution

The fourth proportional to 65,468.86, 90,344.49 and 40,017.84 is: 55,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,468.86 : 90,344.49 = 40,017.84 : x
  2. Step 2: Convert to fraction form
    65,468.86/90,344.49 = 40,017.84/x
  3. Step 3: Cross multiply
    65,468.86x = 90,344.49 × 40,017.84
  4. Step 4: Simplify right side
    65,468.86x = 3,615,391,440.06
  5. Step 5: Solve for x
    x = 3,615,391,440.06/65,468.86
  6. Step 6: Final answer
    x = 55,223.07

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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.