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Finding the Fourth Proportional to 65,509.86, 90,403.06 and 36,829.64

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Solution

The fourth proportional to 65,509.86, 90,403.06 and 36,829.64 is: 50,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509.86 : 90,403.06 = 36,829.64 : x
  2. Step 2: Convert to fraction form
    65,509.86/90,403.06 = 36,829.64/x
  3. Step 3: Cross multiply
    65,509.86x = 90,403.06 × 36,829.64
  4. Step 4: Simplify right side
    65,509.86x = 3,329,512,527.19
  5. Step 5: Solve for x
    x = 3,329,512,527.19/65,509.86
  6. Step 6: Final answer
    x = 50,824.60

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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.