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Finding the Fourth Proportional to 65,578.86, 98,373.69 and 21,212.73

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Solution

The fourth proportional to 65,578.86, 98,373.69 and 21,212.73 is: 31,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,578.86 : 98,373.69 = 21,212.73 : x
  2. Step 2: Convert to fraction form
    65,578.86/98,373.69 = 21,212.73/x
  3. Step 3: Cross multiply
    65,578.86x = 98,373.69 × 21,212.73
  4. Step 4: Simplify right side
    65,578.86x = 2,086,774,525.07
  5. Step 5: Solve for x
    x = 2,086,774,525.07/65,578.86
  6. Step 6: Final answer
    x = 31,820.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.