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Finding the Fourth Proportional to 65,262.86, 97,906.54 and 20,877.69

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Solution

The fourth proportional to 65,262.86, 97,906.54 and 20,877.69 is: 31,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262.86 : 97,906.54 = 20,877.69 : x
  2. Step 2: Convert to fraction form
    65,262.86/97,906.54 = 20,877.69/x
  3. Step 3: Cross multiply
    65,262.86x = 97,906.54 × 20,877.69
  4. Step 4: Simplify right side
    65,262.86x = 2,044,062,391.09
  5. Step 5: Solve for x
    x = 2,044,062,391.09/65,262.86
  6. Step 6: Final answer
    x = 31,320.45

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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.